Question 1

Divide: $(x^4 - x^3 - 4x^2 + 8)/(x - 1)$

Accepted Answer

$x^3 - 4x- 4 + (4/x-1)$

Answer

$x^3 - 4x^2- 4x - (4/x-1)$

Answer

$x^3 - 4x- 4 - (4/x-1)$

Answer

$x^3 - 4x^2- 4x + (4/x-1)$

Question 2

Divide: $(x^3 + 4x^2- 1)/(x + 4)$

Accepted Answer

$x^2 - (1/x+4)$

Answer

$x^2 -x + 4$

Answer

$x^2 - 1$

Answer

$(x^2 - 1)/(x +4)$

Question 3

True or false +1 is a possible rational root of $f(x)=2x^3+x^2-2x-1$

Accepted Answer

True

Answer

False

Question 4

List all the possible rational roots of $f(x) = 5x^3+11x^2+7x+1$

Accepted Answer

$-1/5, 1/5, -1, 1$

Answer

$-1, 1$

Answer

$-5, 5, -1, 1$

Answer

$-5, 5$

Question 5

True or false - The rational root theorem tells you the number of roots a polynomial function has.

Accepted Answer

False - the rational root theorem tells you all the possible rational roots.

Answer

True

Answer

False - the rational root theorem tells you where the x-intercepts are.

Answer

False - the rational root theorem tells you what degree your polynomial is.

Question 6

True or false - The Fundamental Theorem of Algebra tells you the number of zeros a polynomial function has.

Accepted Answer

True

Answer

False - this is the rational root theorem

Question 7

How many roots does the polynomial $x^5 - 125$  have?

Accepted Answer

5

Answer

1

Answer

10

Answer

25

Question 8

How do you know you have found a zero of a function?

Accepted Answer

When you divide the polynomials your remainder is zero.

Answer

When you divide the polynomials your remainder is positive.

Answer

When you divide the polynomials your remainder is one.

Answer

When you divide the polynomials your remainder is negative.

Question 9

Given 2 is a zero, find the remaining roots of $y=x^4-2x^3+x^2-2x$

Accepted Answer

$0, -i, i$

Answer

$0, -2$

Answer

$0, -1, 1$

Answer

$0, 1/2$

Question 10

What are the zeros?

Accepted Answer

$-6, 2, 4, 5$

Answer

$-6, 5$

Answer

$0$

Answer

$2, 4$

Question 11

Given 4 is a zero, find the remaining roots of $ y = 2x^3 - 3x^2 - 18x - 8 $

Accepted Answer

$-2, -1/2$

Answer

$-2, 2$

Answer

$-2, 0$

Answer

$-2, -4$

Question 12

True or false, $x^3 + x^2 +4x + 4$, has imaginary roots.

Accepted Answer

True $-2i, 2i$

Answer

True $-i, i$

Answer

True $-4i, 4i$

Answer

False, all real roots, $x = -2, 2, -1$

Question 13

What are the roots?

Accepted Answer

$-3, -1, -1/2, 3$

Answer

$-3, 0, 3$

Answer

$-3, 3$

Answer

$-3, -1, 1$

Related quizzes

Related quizzes