Polynomial Operations

Polynomial Operations

Assessment

Flashcard

Mathematics

10th - 11th Grade

Hard

Created by

Felisa Ford

FREE Resource

Student preview

quiz-placeholder

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

(2x+3)2

Back

4x2+12x+9

Answer explanation

To find the product of (2x+3)², use the formula (a+b)² = a² + 2ab + b². Here, a = 2x and b = 3. Thus, (2x)² = 4x², 2(2x)(3) = 12x, and 3² = 9. Combining these gives 4x² + 12x + 9, which is the correct answer.

2.

FLASHCARD QUESTION

Front

Find the sum: (3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)

Back

3y+ 7y- 4y + 3

Answer explanation

To find the sum, combine like terms: (3y^2 + 4y^2) + (y^3 + 2y^3) + (-4y) + (-5 + 8) = 7y^2 + 3y^3 - 4y + 3. Thus, the correct answer is 3y^3 + 7y^2 - 4y + 3.

3.

FLASHCARD QUESTION

Front

Find the difference: (3 - 2x + 2x2) - (4x - 5 + 3x2)

Back

-x2 - 6x + 8

Answer explanation

To find the difference, distribute the negative sign: (3 - 2x + 2x²) - (4x - 5 + 3x²) = 3 - 2x + 2x² - 4x + 5 - 3x² = -x² - 6x + 8. Thus, the correct answer is -x² - 6x + 8.

4.

FLASHCARD QUESTION

Front

Simplify the expression: -3x2( 7x- x + 4)

Back

-21x4 + 3x3 -12x2

Answer explanation

To simplify -3x²(7x² - x + 4), distribute -3x² to each term: -3x² * 7x² = -21x⁴, -3x² * -x = 3x³, -3x² * 4 = -12x². Combining these gives -21x⁴ + 3x³ - 12x², which matches the correct answer.

5.

FLASHCARD QUESTION

Front

Multiply.
(b+3)(b2+2b+1)

Back

b3+5b2+7b+3

Answer explanation

To multiply (b+3)(b^2+2b+1), use the distributive property: b(b^2+2b+1) + 3(b^2+2b+1). This results in b^3 + 2b^2 + b + 3b^2 + 6b + 3, which simplifies to b^3 + 5b^2 + 7b + 3, the correct answer.

6.

FLASHCARD QUESTION

Front

(5x- 4x- 2x2 + x - 19) - (x+ 5x3 + 8x2 + x + 5)

Back

4x- 9x- 10x- 24

Answer explanation

To solve the expression, distribute the negative sign and combine like terms. The result simplifies to 4x^4 - 9x^3 - 10x^2 - 24, matching the first answer choice.

7.

FLASHCARD QUESTION

Front

Perimeter of rectangle: 6x^3 - 9x^2 + 10x - 15, 6x^2 + 1x - 15, 6x^2 + 4x + 4, 6x^3 + 1x^2 - 15x

Back

6x^2 + 4x + 4

Answer explanation

The perimeter of a rectangle is calculated as P = 2(length + width). Given the correct choice, 6x² + 4x + 4 represents the sum of the dimensions multiplied by 2, making it the valid perimeter expression.

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?