Factoring Quiz

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

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19 questions

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FILL IN THE BLANKS QUESTION

1 min • 5 pts

Rewrite the equation $x^2-5x$ by taking out the factors they have in common. Do NOT include any spaces.

(a)

FILL IN THE BLANKS QUESTION

1 min • 5 pts

Rewrite the equation $2x^2+12x$ by taking out the factors they have in common. Do NOT include any spaces.

(a)

FILL IN THE BLANKS QUESTION

1 min • 5 pts

Rewrite the equation $6a^2b-2ab^2$ by taking out the factors they have in common. Do NOT include any spaces.

(a)

Tags

CCSS.7.EE.A.1

FILL IN THE BLANKS QUESTION

1 min • 5 pts

Rewrite the equation $t^2h+3t$ by taking out the factors they have in common. Do NOT include any spaces.

(a)

Tags

CCSS.7.EE.A.1

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

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

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

FILL IN THE BLANKS QUESTION

1 min • 5 pts

Rewrite the equation $5c^2-2c$ by taking out the factors they have in common. Do NOT include any spaces.

(a)

FILL IN THE BLANKS QUESTION

1 min • 5 pts

Rewrite the equation $3x-12$ by taking out the factors they have in common. Do NOT include any spaces.

(a)

Tags

CCSS.7.EE.A.1

10.

FILL IN THE BLANKS QUESTION

1 min • 5 pts

Rewrite the equation $x^2+3x$ by taking out the factors they have in common. Do NOT include any spaces.

(a)

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Factoring

Rewrite the equation x2−5xx^2-5xx2−5x by taking out the factors they have in common. Do NOT include any spaces. (a)

Rewrite the equation 2x2+12x2x^2+12x2x2+12x by taking out the factors they have in common. Do NOT include any spaces. (a)

Rewrite the equation 6a2b−2ab26a^2b-2ab^26a2b−2ab2 by taking out the factors they have in common. Do NOT include any spaces. (a)

Rewrite the equation t2h+3tt^2h+3tt2h+3t by taking out the factors they have in common. Do NOT include any spaces. (a)

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

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)

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

Rewrite the equation 5c2−2c5c^2-2c5c2−2c by taking out the factors they have in common. Do NOT include any spaces. (a)

Rewrite the equation 3x−123x-123x−12 by taking out the factors they have in common. Do NOT include any spaces. (a)

Rewrite the equation x2+3xx^2+3xx2+3x by taking out the factors they have in common. Do NOT include any spaces. (a)

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Discover more resources for Mathematics

Rewrite the equation $x^2-5x$ by taking out the factors they have in common. Do NOT include any spaces.

(a)

Rewrite the equation $2x^2+12x$ by taking out the factors they have in common. Do NOT include any spaces.

(a)

Rewrite the equation $6a^2b-2ab^2$ by taking out the factors they have in common. Do NOT include any spaces.

(a)

Rewrite the equation $t^2h+3t$ by taking out the factors they have in common. Do NOT include any spaces.

(a)

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

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)

Rewrite the equation $5c^2-2c$ by taking out the factors they have in common. Do NOT include any spaces.

(a)

Rewrite the equation $3x-12$ by taking out the factors they have in common. Do NOT include any spaces.

(a)

Rewrite the equation $x^2+3x$ by taking out the factors they have in common. Do NOT include any spaces.

(a)