Quiz about Solving Polynomial Equations for Zeros

Question 1

Solve by Factoring:
x² + 15x + 64 = 20

Accepted Answer

{-11, -4}

Answer

{-8, 2}

Answer

{-7, 5}

Answer

{-11}

Question 2

Solve by Factoring: 4x² + 11x - 3 = 0

Accepted Answer

x = 1/4 and x = -3

Answer

x = -3/4 and x = -1

Answer

x = 4 and x = 3

Answer

x = -1/4 and x = 3

Question 3

Factor this difference of cubes:
x³ - 343

Accepted Answer

(x - 7) (x² + 7x + 49)

Answer

(x + 7) (x² - 7x + 49)

Answer

(x² + 1) (x - 343)

Answer

(x² - 343) (x + 1)

Question 4

Factor: x³+ 1

Accepted Answer

(x+1)(x²- x + 1)

Answer

(x + 1)<sup>3</sup>

Answer

(x - 1) (x² + x - 1)

Answer

(x + 1)(x² - 2x + 1)

Question 5

Factor by grouping:
30x³+15x²-18x-9

Accepted Answer

3(5x²-3)(2x+1)

Answer

(5x²-3)(6x+1)

Answer

(5x²-3)(6x+3)

Answer

3(5x²+3)(2x-1)

Question 6

What are the zeros of the function?

Accepted Answer

-3, -1, 2, 5

Answer

4,1

Answer

3,1,-2,-5

Answer

-2,4

Question 7

What is another way to say "where a function crosses the x-axis"?

Accepted Answer

all of these.

Answer

x-intercept

Answer

zero

Answer

root

Question 8

Factor:
x²- 400

Accepted Answer

( x - 20) ( x + 20)

Answer

( x - 200) ( x + 200)

Answer

( x + 20) ( x + 20)

Answer

Prime

Question 9

Is the binomial x - 9 a factor of 4x² -33x -27?

Accepted Answer

yes

Answer

no

Question 10

Let f(x) = 3x² - 9x +2.
Is k = -3 a zero of the function? (Prove by using synthetic division.

Accepted Answer

no

Answer

yes

Question 11

Factor:
f(x) = x³-12x²+47x-60=0 when 5 is a zero. (so f(5) = 0)

Accepted Answer

(x-3)(x-4)(x-5)=0

Answer

(x+1)(x-4)(x-5)=0

Answer

(x-3)(x-4)(2x-5)=0

Answer

(x-5)(x-4)(x-5)=0

Question 12

What is the remainder when the polynomial p(x) is divided by (x-5)?
p(x) = x³- 5x²+ 2x - 10

Accepted Answer

0

Answer

-10

Answer

-2x-10

Answer

2

Question 13

What is the proper way to write the answer for the following problem?

Accepted Answer

2x³-x²-25x-12

Answer

2x⁴-x³-25x²-12x+0

Question 14

Find all the real zeros of the function
f(x) = 2x³ - 19x² + 38x + 24 given that x-4 is a factor.

Accepted Answer

x = 4, -1/2, 6

Answer

x = 1/2, -6

Answer

x = -1/2, 6

Answer

x = -4, 1/2, -6

Question 15

Find all the zeros, given that f(-3) = 0
f(x) = 2x³+5x²-6x-9

Accepted Answer

-1,-3,3/2

Answer

-1,-3,-3

Answer

3,3,3

Answer

-3,2/3,-1

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