Factor Quadratic with a=1

Factor Quadratic with a=1

9th Grade

20 Qs

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Factor Quadratic with a=1

Factor Quadratic with a=1

Assessment

Quiz

Mathematics

9th Grade

Practice Problem

Hard

CCSS
HSA-REI.B.4B, HSA.APR.C.4

Standards-aligned

Created by

Anthony Clark

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the first step in solving 
(x + 2)(x - 3) = 0      ?

Plug in zero for x

Solve for x

FOIL

Set each binomial factor equal to zero

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve for X:

(x-5)(x+6)=0

{5,5 }

{ -5,-5 }

{ -5,-6 }

{5,-6 }

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor the following quadratic expression: x² + 4x + 3

(x + 3)(x + 1)

(x + 5)(x + 2)

(x + 4)(x + 1)

(x + 2)(x + 2)

Answer explanation

To factor the quadratic expression x² + 4x + 3, we need to find two numbers that multiply to 3 and add up to 4. The correct choice is (x + 3)(x + 1) because when we expand it, we get x² + 4x + 3, which matches the original expression.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor the following quadratic expression: x² - 6x + 9

(x - 5)²

(x - 4)(x - 2)

(x + 3)²

(x - 3)²

Answer explanation

To factor the quadratic expression x² - 6x + 9, we need to find two numbers that multiply to give 9 and add up to -6. The correct choice is (x - 3)² because when we expand it, we get x² - 6x + 9, which matches the given expression.

Tags

CCSS.HSA.APR.C.4

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor the following quadratic expression: x² + 2x - 15

(x + 5)(x - 3)

(x - 2)(x - 8)

(x + 7)(x - 1)

(x + 3)(x - 5)

Answer explanation

To factor the quadratic expression x² + 2x - 15, we look for two numbers that multiply to -15 and add up to 2. The correct choice is (x + 5)(x - 3) because (5)(-3) = -15 and 5 + (-3) = 2.

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor the following quadratic expression: x² - 5x - 14

(x - 7)(x + 2)

(x - 3)(x - 4)

(x - 5)(x - 2)

(x + 7)(x - 2)

Answer explanation

To factor the quadratic expression x² - 5x - 14, we need to find two numbers whose product is -14 and whose sum is -5. The correct choice is (x - 7)(x + 2) because when we expand it, we get x² - 5x - 14, which matches the original expression.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor the following quadratic expression: x² + 5x + 6

(x + 4)(x + 2)

(x - 2)(x - 3)

(x + 5)(x + 1)

(x + 2)(x + 3)

Answer explanation

To factor the quadratic expression x² + 5x + 6, we look for two numbers that multiply to 6 and add to 5. The correct choice is (x + 2)(x + 3) because (2)(3) = 6 and 2 + 3 = 5.

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