question

If (x + k) is a factor of f(x), which of the following must be true?

answer

f(-k) = 0

question

Which statement best describes the equation x5 + x3 - 14 = 0?

answer

The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.

question

Which statement about 4x2 + 19x - 5 is true?

answer

One of the factors is (x + 5).

question

Logan saves the same amount of money each month for college. His current total savings is 300m2 + 120m + 180 dollars. Which factorization could represent the number of months and amount of a monthly deposit in dollars?

answer

60(5m2 +2m +3)

question

What are the solutions of the equation (x + 2)2 + 12(x + 2) - 14 = 0? Use u substitution and the quadratic formula to solve.

answer

x=-8+-5 square root of 2

question

According to the Rational Root Theorem, which could be a factor of the polynomial f(x) = 60x4 + 86x3 - 46x2 - 43x + 8?

answer

6x - 1

question

What is the end behavior of the graph of the polynomial function f(x) = -x5 + 9x4 - 18x3?

answer

As *X -> NEGATIVE* infinite sign, *Y -> POSITIVE* infinite sign and as *X -> POSITIVE* infinite sign, *Y -> NEGATIVE* infinite sign.

question

The polynomial function f(x) = 3x5 - 2x2 + 7x models the motion of a roller coaster. The roots of the function represent when the roller coaster is at ground level. Which answer choice represents all potential values of when the roller coaster is at ground level? Begin by factoring x to create a constant term.

answer

0, +- 1/3, +-1, +-7/3, +-7

question

Anja divides (8x3 - 36x2 + 54x - 27) by (2x - 3) as shown below. What error does Anja make?

answer

She makes a multiplication error.

question

Arpitha factors out the greatest common factor, 9n, from the terms of the polynomial shown.
162m3n4 + 45n
= 9n(_______ + 5)

answer

18m3n3

question

The area of a rectangle is (x3 - 5x2 + 3x - 15), and the width of the rectangle is (x2 + 3). If area = length Γ width, what is the length of the rectangle?

answer

x - 5

question

What are the solutions of the equation (x + 2)2 - 2(x + 2) - 15 = 0? Use u substitution to solve.

answer

x = -5 and x = 3

question

What are the solutions of the equation x4 - 5x2 - 36 = 0? Use factoring to solve.

answer

x= +-2i and x= +-3

question

What is the product?
(5r β 4)(r2 β 6r + 4)

answer

5r3 β 34r2 + 44r β 16

question

What is the completely factored form of 9x2 + 24x + 16?

answer

(3x + 4)(3x + 4)