UNIT TEST: MATH

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

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

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

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

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.

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

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

18m3n3

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

5r3 − 34r2 + 44r − 16

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?

60(5m2 +2m +3)

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

6x - 1

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

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

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

One of the factors is (x + 5).

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

She makes a multiplication error.

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

x - 5

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

x = -5 and x = 3

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

f(-k) = 0

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

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

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

x=-8+-5 square root of 2