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Polynomial Identities

Authored by Daniel Deprisco

Mathematics

9th - 12th Grade

CCSS covered

Used 3+ times

Polynomial Identities
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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

a3+b3a^3+b^3

(a+b)(a2−ab+b2)\left(a+b\right)\left(a^2-ab+b^2\right)

(a−b)(a2+ab+b2)\left(a-b\right)\left(a^2+ab+b^2\right)

(a+b)(a−b)\left(a+b\right)\left(a-b\right)

(a+bi)(a−bi)\left(a+bi\right)\left(a-bi\right)

Tags

CCSS.HSA.APR.C.4

2.

MATCH QUESTION

1 min • 1 pt

Match the following polynomial identities to their factored forms.

(a−b)(a2+ab+b2)\left(a-b\right)\left(a^2+ab+b^2\right)

a3+b3a^3+b^3

(a+b)(a2−ab+b2)\left(a+b\right)\left(a^2-ab+b^2\right)

a2−b2 a^2-b^{2\ }

(a+b)(a−b)\left(a+b\right)\left(a-b\right)

a3−b3a^3-b^3

(a+bi)(a−bi)\left(a+bi\right)\left(a-bi\right)

a2+b2a^2+b^2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

a3−b3a^3-b^3

(a+b)(a2+ab+b2)(a+b)(a^2+ab+b^2)

(a−b)(a2+ab+b2)(a-b)(a^2+ab+b^2)

(a+b)(a2−ab+b2)(a+b)(a^2-ab+b^2)

(a−b)(a2−ab+b2)(a-b)(a^2-ab+b^2)

Tags

CCSS.HSA.APR.C.4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

(a−b)2\left(a-b\right)^2 is called a square of a sum.

True
False

Tags

CCSS.HSA.APR.C.4

5.

MATCH QUESTION

1 min • 1 pt

Match the following.

Sum of Cubes

a3−b3a^3-b^3

Difference of Squares

a3+b3a^3+b^3

Imaginary Difference of Squares

a2+ab+b2a^2+ab+b^2

Difference of Cubes

a2+b2a^2+b^2

Square of a Sum

a2−b2a^2-b^2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

a2−ab+b2a^2-ab+b^2

(a+bi)(a−bi)\left(a+bi\right)\left(a-bi\right)

(a+b)2\left(a+b\right)^2

(a−b)2\left(a-b\right)^2

(a+b)(a−b)\left(a+b\right)\left(a-b\right)

Tags

CCSS.HSA.APR.C.4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

a2+ab+b2a^2+ab+b^2

(a+bi)(a−bi)\left(a+bi\right)\left(a-bi\right)

(a+b)2\left(a+b\right)^2

(a+b)(a−b)\left(a+b\right)\left(a-b\right)

(a−b)2\left(a-b\right)^2

Tags

CCSS.HSA.APR.C.4

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