List all the possible Q roots, do NOT factor. (a) f(x) = x³ – 4x² + 1 (b) g(x) = 4r3 – 4r2 – 17x - 7 (c) f(r) = 3r3 - 4r2 + 5r – 9 (d) f(x) = 3r +3r3 + 3r2 – 20

Q: The polynomial p(x) = 2-(x+1)+x(x+1)- 2x(x+1)(x–1) interpolates the first four points in the table:…

A: Given, the polynomial p(x)=2-(x+1)+x(x+1)-2x(x+1)(x-1)   interpolates the first four points in the…

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: Which polynomial function would have the end behavior of as x→ too, y 0? f(x) = 7x5 – 8x1 – 2x3 + x²…

A: The given polynomial functions are…

Q: factorise (c) x - - 3x - 4x + 12 (f) x'y – 4xy

A:

Q: Given f(x)=2x³ — 4x² – 13x − 9 - Use the factor theorem to determine if (x-4) is a factor of f(x).

A:

Q: solve the polynomial equations byfactoring, and check the solutions graphically.

A: "Since questions with multiple subparts are asked, we are going to solve the first three subparts…

Q: Write the the function f(x) = x² – 2x + 6 in the form f(x) = a(x – p)² + q by completing the square:…

A: Given function f(x)=x2-2x+6. The objective is to write the function in the form f(x)=a(x-p)2+q by…

Q: Factor the polynomial, then solve the equation f (x) = 0 over the R (a) f(r) = r + 4x? +r -6 %3D (b)…

A:

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

A:

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: (x+1) is a factor of x²+2x²+2x+1 Find the other factor.

A: is a factor of .To find other factor.

Q: √(3x − 5)(x² + 1)da

A:

Q: Which of these is not an appröprlate st in factoring f (x)= 4x? – 3zy + 20z – 15y? 4a2 + 20x – 3ay –…

A:

Q: For the polynomial function f(x) = 4x – 3x? – 5x + 6, find f(2).

A: Given: fx=4x3-3x2-5x+6 To find: f2

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 m so that x– 5 is a factor of f (x)= 4x² – 21x² +mx–15.

A: Consider the given polynomial fx=4x3-21x2+mx-15

Q: Find all rational zeros of: f(x) = 2x* – 11r³ + 14a² – 11r + 12.

A: We need to find the rational zeros of the given polynomial.  By Rational zero theorem, a polynomial…

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

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Q: Find the roots of the polynomial: f (x) = 2(x – 5)³ + 16.

A: Given f(x)=2x-53+16

Q: For the polynomial below, 3 is a zero. 3 s(x)=x° + x² - 15x + 9 Express f (x) as a product of linear…

A: Given function is fx=x3+x2−15x+9 and given 3 is the zeros of the given polynomial. We have to…

Q: (b.) Given that x-3 is a factor of the function, h(x)= 6x -11x – 26x +15, find the zeros of the…

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