Find the value of e so that (r + 3) is a factor of the polynomial p(x). p(x) = a-4x² + cx + 33

Q: How do you solve this problem?  Find a 4th degree polynomial P(x) that has -1, 1 and i as zeros and…

A: Given that, p(x) be a polynimial that has zeros at x=-1, x=1, x=ialso, given, p(3)=160since, complex…

Q: Consider a polynomial f (x) = ax³ – bx +c. Find the value of b if f' (2) = 0 and fl" (2) =44. -

A: The solution is given in the next step.

Q: 15. The polynomial P(x) = a3 +3x2 +kx +14 has a factor of x +2. The value of k is

A: Please refer the attached image for complete solution.

Q: 2. Factor the polynomial, then solve the equation f(x) = 0 over the R %3D (a) f(x) = r³ + 4.r² + x –…

A: Given: fx=x3+4x2+x-6 for factorize given function, we use hint and trial method so, putting x=1 in…

Q: Find the value of c so that (x - 3) is a factor of the polynomial p(x).p(x) = x4 - 3x2 + - 2x + c

A: Consider the given polynomial.The given polynomial is p(x) = x4– 3x2– 2x +c.It is known that if x–a…

Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + ß with…

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Q: f(x) = 2x3 – 8x2 + 13x - 10 Complete the first row of the synthetic division table. Is x-2 a factor…

A: We have to use synthetic division

Q: A polynomial function P is given. P(x) = −x3 + 5x2 + 14x (a) Express the function P in factored…

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Q: ind the degree of the polynomial f(x)=2x3 -5x2 +10x +14

A: The degree of the polynomial is defined as the highest power of the given variable. The given…

Q: a and B are the zeroes of the polynomials f (x)= x – 5x + k such that a -B=1 find the value of k.

A:

Q: Consider the polynomial P (x)=kx' - 5x +3x + 2. Find the value of k such that the remainder is 4…

A: The polynomial is given by Px = kx3-5x2+3x+2 The remainder obtained after dividing the polynomial Px…

Q: Given a polynomial f(x), if (x − 2) is a factor, what else must be true?  a) f(0) = 2 f b) (0) =…

A: NOTE: Refresh your page if you can't see any equations. . use the remainder theorem to solve this…

Q: A factor of a polynomial P(x) is x - c. Which must be true of P(x)? A P(c) = 0 BP(-) = 0 C_P(0) = c…

A: Given (x-c) is factor of P(x). Therefore P(x)=(x-c)q(x)          where q(x) is any polynomial.

Q: Find the zero of P(x) = 9x + 14.

A: The given function is Px=9x+14.

Q: The polynomial function g (x) = 3x³ +11x? – 14x – 40 has a known factor of (3x +5). Rewrite g(x) as…

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Q: If (2x-1) is a factor of the polynomial p(x)=2x^3-3x^2+kx+6, then the value of k is: a) k= -6 b)…

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Q: Find the zero of P(x) = 7x + 12.

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Q: - Given that ( x + 1) is factor of the polynomial P(x) = x³ – x² – x – m. The value of m is A 1 B в…

A: Using polynomial and its factor properties

Q: Find the value of k such that x-3 is a factor of x^3-kx^2+2kx-12.

A: Given that, x - 3 =0 And x3 -kx2 + 2kx -12 = 0

Q: A quadratic polynomial y = 4x2 + 7x – 3 has roots p and q. Find a quadratic g(x) x2 + ax + Bwith…

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Q: Find the general solution for: y^(8) = 0 (as in y'''''''') The general solution is a polynomial of…

A: The differential equation is given by y8 = 0

Q: A quadratic polynomial y = 4x2 + 7x – 3 has roots p and q. Find a quadratic g(x) x2 + ax B with…

A: topic- quadratic equations for equation ax2+bx+c=0sum of roots=-baproduct of roots=ca

Q: given P (x) = x³ + 4x²-5x + 6.Find the polynomial coefficients Q (x) = ax² + bx + c and the value of…

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Q: F(x)=3x^4-9x^3+5x+14 What is the remainder? Is x-2 a factor of f(x)=3x^4-9x^3+5x+14

A: Divide the polynomial  for finding the remainder.

Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x2 + ax + B with…

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Q: Find the remainder R when is divided by .Is g a factor of f?

A: Given,

Q: P(X)=3X^5+4X^3+2X^2+3X-6 How many zeros does the above polynomial have?

A: From the given problem:   Px=3x5+4x3+2x2+3x-6   Now differentiate the given function with respect to…

Q: A quadratic polynomial y = 4x2 + 7x – 3 has roots p and q. Find a quadratic g(x) = x2 + ax + B with…

A:

Q: A fourth degree polynomial equation is shown below. (x2 +7x- 44) (x²+2x-24)=0 Which of the choices…

A: Given: x2+7x-44x2+2x-24=0

Q: Find the value of c so that (r 2) is a factor of the polynomial p(D). p(z) = a - 4x? + 3x +c

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Q: g P is a third degree polynomial. P -1 -1 3 -5

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Q: A quadratic polynomial y = 4x² +7x-3 has roots p and q. Find a quadratic g(x) = x + ax +B with roots…

A: Use the given conditions.

Q: A factor of a polynomial P(x) is x - c. Which must be true of P(x) ? A P(c) = 0 BP(-c) = 0 CP(0) = c…

A: Given polynomial is Px and its factor is x-c.

Q: A quadratic polynomial y = 4x2 + 7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + B with…

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Q: Given p(x) = 29x13 + 9x11 - 8x9 + 25x2 + 3x - 97 is a polynomial of degree n what is  an-1

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Q: The polynomial p(r) x-6x2 + 32 has a known factor of (r 4). Rewrite p(x) as a product of linear…

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Q: A cylinder has a radius of x + 2 units and a height of 3 units greater. Express the volume of the…

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Q: Find values of a, b, and c such that the graph of the polynomial p(x) = ax²+bx+c passes through the…

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Q: Find k such that the remainder of the division 6 – x² – 14.r + k: 3x – 2 is -2. Your solution should…

A: 3x-22x2+x-46x3-x2-14x+k-6x3+4x23x2-14x+k-3x2+2x-12x+k12x-8k-8 So the quotient is = 2x2+x-4 And…

Q: Find the remainder when f(x) is divided by x- k. 3) f(x) =x³ – 13x² + 15x + 14 k =-1

A: follow next step

Q: Find the value of c so that x+2 is a factor of the polynomial p(x). p(x)=4x3+cx2+x+2

A: Here we find the value of c so that x+2 is a factor of the polynomial p(x)where p(x)=4x3+cx2+x+2

Q: Find the remainder R when f(x) is divided by g(x). Is g a factor of f ? f(x) = x4 - 2x3 + 15x - 2;…

A: f(x) = x4 - 2x3 + 15x - 2;    g(x) = x + 2

Q: Find the value of c so that (x- 2) is a factor of the polynomial p(z). p(a) a-4x2 +3x + c C = Show…

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Q: The polynomial f(x)=-2/5(x^3+bx^2+cx+d) has x-intercepts at 2, -5 and 7. The y-intercept of f(x) is:…

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Q: polynomial P(x)= x3 + kx2+4x-12 has an x- intercept of -2.The polynomial can be written as…

A: Given query is to find the value of c.

Q: A root of the polynomial g(x) = x³ – 300x? – 126x + 5005 is a = 5. Estimate the root a(e) of the…

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Q: Find a polynomial function P(x) having leading coefficient 1, least possible degree, real…

A: Given zeros,  4+2, 4-2, 3

Q: fa and B are the zeroes of the polynomials f(x) = x² - 5x + k such that a - B=1 find the value of k.

A:

Q: f(x)=2x4 - x3 - 3x2 + 7x - 12   p(x)=x2 - 3 "Find the quotient and remainder of f(x)/p(x)"

A: From the given information

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.