Free Printable Math 3H Module 3 Test Part 2

Worksheets

Math 3H Module 3 Test Part 2

Total questions: 15

Worksheet time: 1hrs 7mins

Name

Class

Date

State the zeros of the polynomial (include multiplicity):
f(x) = (x²+9)(x -1)³(2x + 5)

-9, 1, -5

-9, 1 (multiplicity of 3), -5

± 3i , 1 (multiplicity of 3), -5∕2

± 3i, 1, -5

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

Given the roots, which roots are missing: -7i, 3√2, _____, ______

-7i, 3√2,

-7i, -3√2,

7i, 3√2,

7i, -3√2,

All imaginary roots comes in pairs.

True

False

Write the polynomial in standard form given the following zeros. x = -2, 1, 4

f(x) = (x+2)(x-1)(x-4)

f(x) =x³ - 3x² - 6x + 8

f(x) = x³+ 8

f(x) = x³ - 3x² + 8

Which of the following would be the correct factored form with roots 2, 5i, and 6?

(x-6)(x-2)(x+5i)(x-5i)

(x+6)(x+2)(x+5i)

(x-6)(x-2)(x-5i)

(x+6)(x+2)(x-5i)

The degree of the polynomial determines the number of roots.

True

False

What is this formula?

This is the speed of light formula.

This is the quadratic formula.

This is the zero product property.

This is scary.

Which of the following functions would have roots at 0, 3, and 5?

$f\left(x\right)=x\left(x-5\right)\left(x-3\right)$

$f\left(x\right)=x\left(x+5\right)\left(x-3\right)$

$f\left(x\right)=x\left(x-5\right)\left(x+3\right)$

$f\left(x\right)=x\left(x+5\right)\left(x+3\right)$

10.

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

-∞
-∞

+∞
-∞

-∞
+∞

+∞
+∞

11.

Describe the end behavior of the graph.

x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞

x → -∞, f(x) → ∞ and x→∞, f(x) →∞

x → -∞, f(x) → ∞ and x→∞, f(x) → 0

x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞

12.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

Leading Coefficient Positive
Degree - Even

Leading Coefficient Positive
Degree - Odd

Leading Coefficient Negative
Degree - Even

Leading Coefficient Negative
Degree - Odd

13.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

Leading Coefficient Positive
Degree - Even

Leading Coefficient Positive
Degree - Odd

Leading Coefficient Negative
Degree - Even

Leading Coefficient Negative
Degree - Odd

14.

Given $f\left(x\right)=3x^2-4x^4+2x+1$ .

What is the leading term of the polynomial?

$3x^2$

-4

$-4x^4$

15.

Given $h\left(x\right)=3x^2-3x^3-x^6+4\$ .

What is the highest degree of the polynomial?

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Math 3H Module 3 Test Part 2

Total questions: 15

Worksheet time: 1hrs 7mins

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