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Polynomial Functions and Their Properties

Polynomial Functions and Their Properties

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

This video tutorial by Anil Kumar covers polynomial functions, focusing on solving ten questions related to x-intercepts, factoring, writing quartic functions, and applying the factor and remainder theorems. It also includes graphing polynomials and a bonus section on factoring an unfactorable expression. The tutorial is part of an advanced functions curriculum and is suitable for precalculus and IB math students.

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11 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the video tutorial?

Calculus

Polynomial functions

Linear equations

Trigonometric functions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

To find the x-intercepts of a polynomial function, what should the value of y be set to?

0

Any real number

1

-1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a technique used to factor polynomials?

Partial fraction decomposition

Completing the square

Difference of squares

Integration by parts

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a quartic function has zeros at -2, 0, 1, and 3, what is one of its factors?

x - 3

x + 3

x - 2

x + 2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When a polynomial has a factor of (x - 3), what should the value of the polynomial be at x = 3?

3

0

1

-3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method can be used to find other factors of a polynomial after verifying a factor?

Synthetic division

Substitution

Long division

Graphing

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a polynomial has a remainder of -7 when divided by (x - 1), what is the value of the polynomial at x = 1?

-7

7

0

1

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