Suppose f(x) = 4a2 - 2a – 2. a) What are the roots of f(x), that is, the solutions to f(r) = 0? FORMATTING: If you have more than one answer, separate your answers with a semicolon (;). If there are none, write empty. Answer: b) Factor f(2) to get it in the form A(x - B)(a - C). If we order the terms so that B< C, what are A, B and C? FORMATTING: A, B, and C are real numbers, and B < C. Note the minus signs above. A = Number B = Number = Number

Q: B. Find the integral zeros of the following polynomial equations. 1. x-19x - 30 = 0 2. x + 5x2 - 2-…

A: we solve this problem using synthetic division, look at step 2

Q: 9. Given f(x) = 4x - x³, find the following and graph the function. Write NONE when it applies. a)…

A: Note: We are allowed to solve 1 question/ 3 subparts at a time, kindly reupload the remaining…

Q: Determine the different possibilities for the numbers of positive, negative, and nonreal complex…

A: Given is  f(x) =5x^5 -2x^4 -4x^3 +2x^2-9x-4

Q: 5 Calculate the roots of the following polynomial equations: (a) x³ – 6x² + 11x – 6 = 0 given x = 1…

A: Topic = Polynomials

Q: (b.) The function, f(x)= ax'-bx² +cx-12 , has a remainder 30 when divided by x - 3. If (x-2) and…

A: Given: fx=ax3-bx2+cx-12 which has a remainder 30 when divided by x-3 and,           x-2 and x+3 are…

Q: XII. Given two polynomials: A(x) = 12x3 - 4x2 - 3x +1 B(x) = (3x – 1)(5x – 2) – (9x² – 6x + 1) 1)…

A:

Q: f(x) = 3x⁹8 + x ¹⁹ + 3 in F7

A:

Q: f(x) = x + 9x² + 8x – 60 %3D

A: detailed solution is given below

Q: 4. Show all solution steps to solve the following: a. Divide the polynomial ((mx) ² — mx + 3x² +…

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Q: Find the roots of the function h(z) 4 %3D Z-5 Z-8 27

A: We have to find the roots of the function  h(z) = zz-5-4z-8.

Q: 1ess of q(x) = xỉ + 2V6x,x2 + 2x?

A:

Q: (a) Suppose we factor the polynomial a+25 as much as possible. Explain why there will be no linear…

A: (a) The given polynomial is : x4+25. We will apply the formula: a2-b2=(a+b)(a-b). We can factorize…

Q: (10) m²-6m+9 = 0 (Ans. 3)

A: Given two polynomial equation

Q: The quadratic form Q(x) = -3x,? – 7x2? – 4x3? is %3D (a) Negative definite (b) Indefinite (c)…

A:

Q: Given that x = 2 is one root of g(x) = 2x* + 4x – 9x² – 11x – 6 = 0, use factorisation to determine…

A:

Q: Let p(x)-x-5x?+4x-20. Verify that p(5)-0 and find the other roots of p(x)-D0.

A: p(x)= x3 - 5 x2 + 4x -20   Verify that p(5)=0; p(5)= 53- 5*52+4(5)-20 p(5)=0   Hence, x= 5 is one…

Q: 2x2 +x + 1 dx (x+1)(x2 + 1)

A:

Q: 5. Find the parameter a such that polynomial equation P(x) = x³ - ax² + 2x + 3a has x + 2 as a…

A: P(x)=x3−ax2+2x+3a has x+2 as a factor