Rational Roots, Remainder Theorem, and Factoring Completely

What are the roots of the following factored polynomial? (x + 1)(x - 1)(2x + 1)=0

• x= -1/2, -1, 1

• x= 1/2, -1, 1

• x = - ± 1

• x= 1/2, 1

What do you check FIRST before you can start factoring?

• If there is a GCF

• What the a value is

• All terms are combined

• Zero Product Property

Solve by factoring.

SHOW ALL WORK ON PAPER!

Select all answers that apply:

y² + 6y = 7

• -6

• 7

• -7

• -1

• 1

What is the remainder of (4x³ - 3x² - 4x +2) ÷ (x - 3)?

• -71

• 71

• 145

Find all rational zeros, one zero has been given.
f(x) = x³-3x²-x+3;   3

• 2,4,3

• -1,1,3

• 3,2,1

• 4,5,6

Find the zeros of the polynomial given one factor.

• X= 3,4,5

• x=-3,-4,-5

• x=-3,4,5

• x= 3, -4, -5

Is 9 a possible rational zero of the equation? Why or why not?

p(x)= x³ - 6x² - x + 30

Evaluate responses using AI:

OFF

Find the root(s) of the function.

• x = 3

• x = {-3, -1, 2}

• x = {-3, 2}

• x = -1

Which of these is a possible rational root of the polynomials?

x³ - 6x² - x + 30

• 0

• 4

• -9

• None of these

What is the remainder of (x³ - 5x² - 8x +1) ÷ (x + 1)?

• -13

• 1

• 3