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Factoring Binomials

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Factoring Binomials
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the factors of
25x2 - 81?

(5x - 9)(5x + 9)

(5x - 9)(5x - 9)

(5x + 9)(5x + 9)

Cannot be factored

Tags

CCSS.HSA.APR.C.4

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor completely.
k2 -2k - 24

(k+4)(k-6)

(k+4)(k+6)

(k+6)(k-1)

(k-4)(k+6)

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor completely:
 3x² + 5x - 12

(3x + 4)(x-3)

(3x - 4)(x + 3)

(3x + 3)(x -4)

(3x - 3)(x + 4)

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor completely: 2x2+22x+60

(2x+10)(x+6)

(x+5)(x+6)

2(x+1)(x+30)

2(x+5)(x+6)

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(x + 5)(x + 4)

x2 + x + 20

x2 + 20x + 9

x2 + 9x + 20

x2 - 9x + 54

Tags

CCSS.HSA.APR.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor the binomial: 11x2−33x11x^2-33x

11x(x - 3)

11x(x + 2)

11(x - 3)

11x(x + 3)

7.

DRAG AND DROP QUESTION

1 min • 1 pt

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

Step 1 - Factor out the negative: ​ (a)  

Step 2 - Factor the trinomial: ​ (b)  

Step 3 - Factor the Difference of Squares: ​ (c)  

Step 4 - Solve: ​ (d)  

−(x4−14x2+45)=0-\left(x^4-14x^2+45\right)=0  

−(x4−14x2−45)=0-\left(x^4-14x^2-45\right)=0

−(x2−9)(x2−5)=0-\left(x^2-9\right)\left(x^2-5\right)=0  

x=±3, ±5x=\pm3,\ \pm\sqrt[]{5}  

x=±3, ±5ix=\pm3,\ \pm\sqrt[]{5}i

Tags

CCSS.HSA-REI.B.4B

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