Simplify Hhe polynomral 6x² (7+X +ス 81 and with step shows that if (6=x) is polynomial fectorial or not 2

Q: . Do the polynomials x? + 2, 2x? – x + 1,x + 2, and x² + x + 4 span P2?

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Q: In Z,[x] The quotient when 5x* + 3x² + 1 is divided by 3x² + 2x + 1 is 4x² + 3x + 6. a) True b)…

A: We decide whether given statement is true or false

Q: 2. Determine the quotient and remainder. (3x* – 5x' +x² -x-1) + (x² – 2x)

A: Given: Using long division,

Q: List the zeros of y (x + 7)(5x + 6). If you have more than one solution, separate them with commas,…

A: The zero product property states that if a·b=0, then either a=0 or b=0.

Q: Sren x=4 is a uo, factr and fnd rest. Let P(x) = 3x3 – 13x? + 2x + 8. Factor and list the zeros.…

A: Given  given  x = 4 is a zero  therefore  ( x - 4 ) is factor equation

Q: What are the zeros of the polynomial p (x) = (a - 5) (3x + 5) (x2 – 7x + 12)? %3D Express them in…

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Q: Determine all the roots the following polynomial 24 – 2z3 + 10z² – 18z + 9 if one of the root is -j3

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Q: On what intervals is the polynomial p(x)= 2x –15x² +36x+50.concave down? Concave up?

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Q: )without actually obbinig thex roots, show that x6-Sx -7x²+8x+20=0 roots a) x° +3 xt=6 buth possess…

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Q: The area of a rectangle is (x^2 + 8x + 12) cm^2. If the length of the rectangle is (x+6) cm, show…

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Q: use Synthetic divisicn X-3x²-4x+12 is divided by X+Z 3. Quotient? Remainder?

A: Steps to perform while doing synthetic division: 1) To write the given problem in a division like…

Q: 5. Write the perimeter of the figure as a polynomial. Simplify. 2x 4x+1 3x O13x+2 O13x+1 09r+1 09r+2

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Q: Marcus states that the polynomial expression 3x3 – 4x2y + y3 + 2 is in standard form. Ariel states…

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Q: Do the polynomials x? + 2,2x2 – x + 1,x + 2, and x² + x + 4 span P2?

A: Let u1 = x2+2, u2 = 2x2-x+1, u3 = x+2, and u4 = x2+x+4. Notice that u1 + u3 = u4. So, u1, u2, u3,…

Q: Find the Bernstein Poly nomial when You put n =5. that means want to find Ba (f(x)

A: Berstein polynomial for a real valued function f on interval [0, 1] is defined as…

Q: Find the zeros of f(x) = x² Enter your values separated by a semicolon. Do not include x = in your…

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Q: Find all numbers for which the rational expresnion is undefined +10 -v- 20

A: Given: The rational expression as  y2+10y2-y-20, To find: The value of y for the given rational…

Q: What is the product of -6x^3 and 2x^5

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Q: List all the possible rational rooots  for the polynomial F(X)=2x^2 -9x+3

A: By quadratic formula for roots of quadratic equation

Q: Exercises 108–110 will help you prepare for the material covered in the next section. 108. Multiply:…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Determine whether the polynomial 8+ 6x – 3x² belongs to Span{2+x – a², 1- 1, 4r²} or not.

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Q: 3 y=(1+x*) * x4 - x

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Q: Find the polynomial to represent (3x-7)2. O 9r2 - 21x + 49 O 9x2 + 21x + 49 9z2 – 42x + 49 9x2 + 42x…

A: We have to find the polynomial which represents the given expression: 3x-72 We know the algebraic…

Q: Express the area of the polygon as a polynomial. 41. Rectangle 42. Right triangle 6x - 1 4x² - 1…

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Q: 27 comp 28. 8 comp 29. +9° +90 27 = x2-6x 28 = 3x2 - y 3-x2 - 13x + 9 Find mz8. What is the name of…

A: Complementary Angles:- Two angles are complementary if the sum of the measures of both the angles is…

Q: What is the multiplicity of the root r = 2 for the polynomial y = x³ – 3? + 4? O 2 O 4 O 1

A: Given polynomial is, y=x3−3x2+4

Q: Show the proper algebraic steps to 2x+4 = 4x. %3D

A: According to the question, we have to solve the algebraic expression 2x+4=4x and find the value of…

Q: The number of zeros of the polynomial x² + 2x + 3 in Z, is: O 2 None

A: Number of zeros in the polynomial equation is termed as the whole polynomial equation is zero for…

Q: Show, by using the discriminant, how many solutions 2x2-x-5=0  has. must show all work

A: The discriminant of a quadratic equation ax2+bx+c=0 is given by D=b2-4ac.  We have h quadratic…

Q: (a) What is the degree of Q(7, V3) over Q ? Justify your answer. Is the polynomial X - 5 € QIX)…

A: Degree of extension- Let E be an extension field of a field F i.e. F is a subfield of E, also E is a…

Q: When we write 2x2 + 7x + 6 as (2x + 3)(x + 2), we say that we have --Select- v the trinomial-it has…

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Q: A farmer’s rectangular field has an area that can be expressed as thetrinomial x2 + 2x + 1. In terms…

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Q: Which of the se poly nomials have X-2) as a factor? 5. (x)= 8x4-41x3 - 18x?+10lx7o %3D

A: We need to check if (x-2) is a factor of polynomial or not.

Q: oSave Save the equatlon x+ Sx+ 6=0 by factoning bl completing the Square c) the quadratic formala

A: The solution of the given quadratic equation is obtained by all the three methods in the steps…

Q: 17. Use the previous exercise to determine whether or not 6x* – 23x + 32x – 19x+4 has a multiple…

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Q: AB is a midesegment. find x. 3x + 30 2x + 8 В A 23 X =

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Q: Find the Bernstein Poly nomial when You put n =5. that means want to find Bn (f/(x)

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Q: Find the conditions that the zeroes of the polynomials Ax) =x – px+ qx – r may be in arthametic…

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Q: 22. Find the quotient and the remainder for each of the followir x3-4x2+2x+5 1) x-2 4x3-2x2-3 2)…

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Q: The degree of the term 8(x³y)2 is 6. صواب ه خطأ

A: Find the degree of term

Q: 1. Use the Product Rule to find for y=(4x'-3x)(2x* +5).

A: Given          y=(4x3-3x5)(2x-6+5)          find dydxx=1Product rule :- Product rule states…

Q: Determine if the expression 4c 2 +c° is a polynomial or not. If it is a polynomial, state the type…

A: The given expression is ,  4c-2+c2

Q: In Z,[x] The quotient when 5x* + 3x² + 1 is divided by 3x² + 2x + 1 is_ 4x² + 3x + 6 . a) True b)…

A: Note: We are allowed to solve only one question at a time kindly upload other questions as different…

Q: Express the area of the polygon as a polynomial. 67. Rectangle 68. Right triangle 6x - 1 4x2 -1 x2 -…

A: The solution are next step

Q: List the zeros of y = (x + 5)(4x + 7). If you have more than one solution, separate them with…

A: We have to find zeros of the given function or polynomial: y=x+54x+7 To find the zeros of any…

Q: What are the oots of the cquaion? 15x2-2x+\=0

A: we have to find the roots of the equation: 15x2-2x+1=0

Q: If the polynomials f1 and f2 are not divisible by the polynomial g, can their sum f1 + f2 be…

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Q: 6. Divide 6x + x² – 12x + 5 by 2x – 1. Is the divisor a f of the dividend?

A: In a division, divisor is said to be a factor of the dividend if dividend can be divided completely…

Q: Use Gramer Rale to Find ,2 -2x + 33-Z-1 X+23-2-4 -2x -y+7=-3

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Q: ven the polynomial y = 29x – 10x? – 21, • list the possible rational roots:

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