State whether or not the divisor is a factor of the given polynomial. 1. (x -x-42)+(x+6) 2. (4x +6x'+11x'+29x-13)+(x+5) 3. (8x'-66x +14x+8)+(x-8)

Q: Find the polynomial if the zeroes are -4,-1,3,4

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Q: Show that xଶ − 4 is a factor of x4− 5x3 + 2x2 + 20x − 24.

A: Let f(x) and g(x) be two functions  then g(x) will be the factor of f(x) if remainder(f(x) / g(x))…

Q: 5. The volume of a rectangular solid is given by the polynomial 3x- 3x - 33x + 54x. The length of…

A: volume of a rectangular solid is 3x4-3x3-33x2+54xlength of the solid is 3x and width is x-2

Q: Write an equation for the polynomial graphed below 5+ 4 1- -5 -4 -3-2 -1 12 3 4 5 -4 -5+ y(x) %3D 3n…

A: Topic = Polynomial

Q: Find the polynomial of the lowest possible degree which assumes the values 3, 12, 15, 21 when x has.…

A:

Q: Write an equation for the polynomial graphed bel 5+ 4+ 3+ 2+ 1- -5 4 -3 -2 2 3 4 5 -2+ -3 - -4+ -5+…

A: The polynomial has zeros at x= -4,-1,1, and 3, as the curve meet x-axis at x=-4,-1,1,3 Therefore,…

Q: find the equation of a polynomial with the following zeros: 2, -1, 0, 4+i square root 5, 4-i square…

A: In the question we have to find the equation of polynomial  with the following zeros: 2, -1, 0, 4+i…

Q: 4. The polynomial equation whose roots are {-1, - ½ and 3} is А. 2х3- Зx2 - 8х-3%3D0 В. х3 - 6х2 - х…

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Q: Compute the zeroes of the polynomial 4x2 - 4x -8 also establish a relationship between the zeroes…

A: Given Polynomial 4x2-4x-8 = 4x2-8x+4x-8  = 4x(x-2)+4(x-2) = (4x+4)(x-2) In order to find the zeros…

Q: Determine whether the first polynomial can be expressed as a linear combination of other two…

A: The given polynomials are  2x^3 − 2x^2 + 12x − 6, x^3 − 2x^2 − 5x − 3, 3x^3 − 5x^2 −4x − 9

Q: Express as a polynomial. (t 2 + 2t - 5)(3t 2 - t + 2)

A: Given: t2+2t-53t2-t+2 For the polynomial, we solve the parenthesis,…

Q: What is the degree and lead coefficient of the following polynomial? f(z) =−+52 = −x + 5x² − 6x³ +…

A: We have fx=-x+5x2-6x3+10 This can be written as: fx=-6x3+5x2-x+10 The degree is the highest power…

Q: Express as a polynomial. (4x - 3y)(x - 5y)

A: Given: (4x - 3y)(x - 5y)

Q: Show that x2 - 4 is a factor of x* – 5x3 + 2x2 + 20x – 24.

A:

Q: The number of zeros of the polynomial x² + 3x + 2 in Z, is: 4 2 1 None

A: The polynomial is given as f(x)=x2+3x+2 Z6=0,1,2,3,4,5

Q: Suppose that the volume V of a cylindrical can is given by the polynomialV = nh3 + nh2+ 4nh, h is…

A: Given, Volume = πh3+πh2+4πh

Q: 2. Determine if the second polynomial is a factor of the first polynomial. f(x) = 2x' -11x² – 22x+7;…

A: (x-7) will be a factor of f(x) if on dividing f(x) by g(x) ,we get the remainder zero.

Q: Express as a polynomial. (r 2 + 8r - 2-)(r 2 + 3r - 1)

A: Given expression:                         (r2+8r-2)(r2+3r-1)

Q: Find the sum of the polynomials -3x +7x - 8 and 5x -7x+2.

A: As per the company guidelines given to us  I am allowed to  solve first question. I hope that the…

Q: A. Determine the factors of the given polynomial. 1. х3 + 2х2 -5х-6 2. х3 + x2- х-1 3. x3- x2- 10x-8

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Q: Find the critical points, A and B, of the following polynomial (with A<B). f(x)=2x3-294x+6 A= ?…

A: The given polynomial is fx=2x3-294x+6.

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: 20) Determine a polynomial that represents the area of the figure. 20) 3x - 5 3x + 5 A) 9x2 - 25 B)…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and the…

A: See the details solution below

Q: 2. For what values of b will the polynomial ƒ (x) =-2x + bx² – 5x +2 have the same remainder when…

A:

Q: Find a polynomial / (x) of degree 4 that has the following zeros. 0, -8, 9, -5 Leave your answer in…

A: Given data: The first zero of the polynomial is x1=0. The second zero of the polynomial is x2=-8 The…

Q: Write an equation for the polynomial graphed below 5+ 3+ 1- -5 4 -3 -2 -1 1 /2 3 4 5 -3 -4 -5+ y(x)…

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Q: 5. Determine whether 3x 4 is a factor for each polynomial. Show all your work! 3 a. 6x 6x³ - 26x²…

A: Solution is given below:

Q: Calculate the real values of x and y such that (x + y)° is bigger than 8. hinh ai is a solution of…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Express as a polynomial. (7x - 4)(x3 - x2 + 6)

A: Given 7x-4x3-x2+6

Q: The number of zeros of the polynomial x² + 2x + 3 in Z, is: 2 1 4 None

A: 2

Q: The polynomial p(x) has the rest (x+2) when dividing it by (x^2+2x-3) and the rest 1 when dividing…

A: We have given that  p(x) leaves the remainder (x+2) when divided by x2+2x-3 and  p(x) leaves the…

Q: The number of zeros of the polynomial x^2 +4x+1 in Z6 is:

A: See the detailed solution below.

Q: 2) Write the factored form of the equation for the given polynomial. y (-1, 4) 4 -5 -2 -4

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Q: Find a polynomial equation that passes through the points (1,3), (0,1), (1,3)

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Q: what could be a polynomial with a degree of 5 if its zeros are -2,1, and 4?

A: The given zeros are, –2, 1 and 4.

Q: Which polynomial would have the following end behavior? x+ -00, f(x) - -00 x+ 0o, f(x) → -00 A y =…

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Q: 2. Determine whether x + 1 is a factor of x27 + 4x20 – 3x15 – 6. -

A: We have to solve

Q: #7: For what value of k will the polynomial function f(x)=x'+6x² +kx=4 have the same remainder when…

A: The Polynomial Remainder theorem states that if x-b divides the polynomial, Qx, then the remainder…

Q: 7. Find all the zeros of the polynomial: y = 2x* – 5x³ + 10x – 12. - -

A:

Q: The brochure for the coaster says that, for the first 10 seconds of the ride, the height of the…

A: Given: Height of the coaster is defined by h(t) = 0.3t3-5t2+21t  Where t= time in seconds

Q: Write an equation for a polynomial that has four turning points, end behavior of up and down, and…

A: A polynomial with an nth degree has n number of roots. The end behaviour of the graph is how the…

Q: 2. Find the difference of the polynomials: (5x°-2x'+x)-(4x°- 3x+2x³-5x) O 9x° +3x-4x O…

A: Given,  ( 5x5 - 2x3 + x ) - (4x5 - 3x4 + 2x3 - 5x )

Q: Use the Factor Theorem to show that the statement in the exercise is true.

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Q: If it is given that -5 is one of the roots of the polynomial z* + 9z3 + 21z² + pz – 130 = 0, find…

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Q: 15) Find the remainder of the polynomial 5x4 – 3x3 + 9x – 1 when divided by x + 3

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Q: When we write the polynomial function that has 0,1,2 as the zeros, the resulting polynomial is -2x +…

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Q: if the sum of the zeroes of the polynomial f(x) = 2x³ – 3kx² + 4x - 5 is 6, then the value of k is

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Q: show that x2-4 is a factor of x4-5x3+2x2+20x-24

A: