Factorization Algebraic Quiz

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

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20 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor
a² - a - 12

(a - 4)(a + 3)

(a + 6)(a - 4)

(a - 6)(a + 4)

(a + 4)(a - 3)

MULTIPLE CHOICE QUESTION

1 min • 1 pt

x²- 25

( x + 5 ) ( x - 5 )

( x - 5 ) ( x - 5 )

( x + 5 ) ( x + 5 )

Prime

Tags

CCSS.HSA.APR.C.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the factors of x^2 -5x +6 ?

(x - 2)(x - 3)

(x - 1)(x +6)

(x+2)(x-3)

(x +1)(x -6)

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the factors of x^2 +5x +6 ?

(x - 2)(x - 3)

(x +1)(x +6)

(x+2)(x+3)

(x -1)(x -6)

DRAG AND DROP QUESTION

1 min • 1 pt

Complete the steps to solve $-x^4+14x^2-45=0$ by factoring.

$-\left(x^4-14x^2+45\right)=0$

$-\left(x^4-14x^2-45\right)=0$

$-\left(x^2-9\right)\left(x^2-5\right)=0$

$x=\pm3,\ \pm\sqrt[]{5}$

$x=\pm3,\ \pm\sqrt[]{5}i$

Tags

CCSS.HSA-REI.B.4B

MATH RESPONSE QUESTION

1 min • 1 pt

Factor the expression completely.
$x^4-2x^2-3$

$\left(x^2-3\right)\left(x^2+1\right)$

Mathematical Equivalence

Tags

CCSS.HSA.APR.C.4

MATH RESPONSE QUESTION

1 min • 1 pt

If a = 4x and b = 5, write a SUM of Cubes Problem that would need to then be factored.

$64x^3+125$

Mathematical Equivalence

Tags

CCSS.HSA.APR.C.4

DROPDOWN QUESTION

1 min • 1 pt

Factor by grouping to find all real solutions to the equation $16x^3-48x^2-x+3$ .
Step 1 - factor out GCF's: (a) (x-3) (b) (x-3)
Step 2 - "commons & leftovers" : (x-3) (c)
Step 3 - factor difference of squares: (x-3) (d)
Step 4 - Solve: (e)

$16x^2$

$-1$

$\left(16x^2-1\right)$

$\left(4x+1\right)\left(4x-1\right)$

$x\ =3,\ \pm\frac{1}{4}$

$x=\pm3,\ \pm4$

$\left(8x+1\right)\left(2x-1\right)$

$\left(x+3\right)$

$+1$

Tags

CCSS.HSF-IF.C.7C

MATH RESPONSE QUESTION

1 min • 1 pt

The expression $d^2-d-6$ can be written in factored form as (d+2)(d+k), where k represents a number. What is the value of k?

$-3$

Mathematical Equivalence

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Factorization Algebraic

Factora2 - a - 12

x2 - 25

What are the factors of x^2 -5x +6 ?

What are the factors of x^2 +5x +6 ?

Complete the steps to solve −x4+14x2−45=0-x^4+14x^2-45=0−x4+14x2−45=0 by factoring.

Factor the expression completely. x4−2x2−3x^4-2x^2-3x4−2x2−3

If a = 4x and b = 5, write a SUM of Cubes Problem that would need to then be factored.

Factor by grouping to find all real solutions to the equation 16x3−48x2−x+316x^3-48x^2-x+316x3−48x2−x+3 .Step 1 - factor out GCF's: ​ (a) (x-3)​ (b) (x-3)Step 2 - "commons & leftovers" : ​ (x-3) ​ (c) Step 3 - factor difference of squares: (x-3)​ (d) Step 4 - Solve: ​ (e)

The expression d2−d−6d^2-d-6d2−d−6 can be written in factored form as (d+2)(d+k), where k represents a number. What is the value of k?

Factor the following completely: 20x³ + 15x²​ (a) (​ (b) )

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Factor
a² - a - 12

x²- 25

Complete the steps to solve $-x^4+14x^2-45=0$ by factoring.

Factor the expression completely.
$x^4-2x^2-3$

Factor by grouping to find all real solutions to the equation $16x^3-48x^2-x+3$ .
Step 1 - factor out GCF's: (a) (x-3) (b) (x-3)
Step 2 - "commons & leftovers" : (x-3) (c)
Step 3 - factor difference of squares: (x-3) (d)
Step 4 - Solve: (e)

The expression $d^2-d-6$ can be written in factored form as (d+2)(d+k), where k represents a number. What is the value of k?

Factor the following completely:
20x³ + 15x²
(a) ( (b) )