Math 1110 Unit 3 Test Review

Which function has k = 3 as a zero?

• $p\left(x\right)=3x^3-3x^2-13x-15$

• $f\left(x\right)=x^2-3x+9$

• $g\left(x\right)=3x^3+3x^2-13x+15$

• $h\left(x\right)=-x^2+4x+1$

What is the remainder when you divide the following polynomials? $\frac{x^3+7x^2-11x-9}{x-1}$   

• 0

• 8

• -11

• -12

Construct a polynomial with the zeros -2 and -1

• $x^2-3x+2$

• $x^2+3x+2$

• $x^2+x-2$

Construct a polynomial with the zeros -2, -1 and 3 

•  $x^3-7x+6$  

•  $x^3-7x-6$  

•  $x^3+6x^2-7x-5$  

What do you need to multiply,  $x^3-7x-6$  , by so it goes through the point (1,9)?

• -3/4

• 660

• -4/3

• 1/660

The Rational Zero Theorem tells you/does which of the following?

• Tells you how many solutions the polynomial has.

• Tells you if a solution is between two values.

• Is a ratio of the factors of the constant term over the factors of the leading coefficent.

• Is a ratio of the factors of the leading coefficient over the factors of the constant term.

The Intermediate Value Theorem tells you/does which of the following?

• Tells you how many solutions the polynomial has.

• Tells you if a solution is between two values.

• Is a ratio of the factors of the constant term over the factors of the leading coefficent.

• Is a ratio of the factors of the leading coefficient over the factors of the constant term.

 $f\left(x\right)=6x^4-210x^3+36x^2+1470x+300$  

Does the Intermediate Value Theorem guarantee that the following equation has a real solution between 9/2 and 11/2?

• YES

• NO

What is the vertical asymptote of the function?  $f\left(x\right)=\frac{3}{x-2}$  

• x = -2

• x = 2

• x = 3

• y = -2