Mastering Quadratic Factoring

Authored by Caterina Segredo

Mathematics

11th Grade

CCSS covered

Used 4+ times

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10 questions

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FILL IN THE BLANKS QUESTION

1 min • 1 pt

Factor the quadratic expression $x^2 + 7x + 10$ .

(a)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Factor the quadratic expression $2x^2 + 8x + 6$ .

$2(x^2 + 4x + 3)$

$2(x + 3)(x + 1)$

$(x + 3)(x + 2)$

$2(x + 2)(x + 1)$

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the common factor in the expression $3x^2 + 12x$ .

$3x$

$6x$

$12x$

$3$

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the quadratic equation by factoring: $x^2 - 5x + 6 = 0$ .

$x = 2, 3$

$x = 1, 6$

$x = -2, -3$

$x = 3, 2$

Answer explanation

To solve the quadratic equation by factoring x^2 - 5x + 6 = 0, we need to find two numbers that multiply to 6 and add up to -5. These numbers are -2 and -3, so the solutions are x = 2, 3.

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Factor the quadratic expression $4x^2 - 4x - 8$ .

$4(x^2 - x - 2)$

$2(x - 2)(x + 2)$

$4(x - 2)(x + 1)$

$4(x + 2)(x - 1)$

Answer explanation

Choose 4 as the common factor and factor the quadratic expression to get 4(x - 2)(x + 1).

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Factor the quadratic expression $x^2 + 6x + 9$ .

$(x + 3)^2$

$(x - 3)^2$

$(x + 3)(x - 3)$

$(x + 4.5)^2$

Answer explanation

To factor the quadratic expression x^2 + 6x + 9, we recognize that it is a perfect square trinomial, which factors to (x + 3)^2.

Tags

CCSS.HSA.APR.C.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the quadratic equation by factoring: $3x^2 + 18x + 27 = 0$ .

$x = -3$

$x = 3$

$x = -6, -3$

$x = -3, 3$

Answer explanation

To solve the quadratic equation by factoring, we can factor out a common factor of 3 from all terms to get (x + 3)^2 = 0. Solving for x gives x = -3.

Tags

CCSS.HSA-REI.B.4B

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Factor the quadratic expression $6x^2 + 11x + 3$ .

(a)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the common factor in the expression $8x^2 + 20x + 12$ .

$4$

$2x$

$4x$

$2$

Answer explanation

The common factor in the expression 8x^2 + 20x + 12 is 4, as it can be factored out from each term to simplify the expression.

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular garden has an area given by the quadratic expression $x^2 + 5x - 24$ . If the width of the garden is $(x - 3)$ meters, what is the length of the garden?

$(x + 8)$ meters

$(x - 8)$ meters

$(x + 3)$ meters

$(x - 5)$ meters

Tags

CCSS.HSA.APR.D.6

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Mastering Quadratic Factoring

Factor the quadratic expression x2+7x+10x^2 + 7x + 10x2+7x+10 . (a)

Factor the quadratic expression 2x2+8x+62x^2 + 8x + 62x2+8x+6 .

Identify the common factor in the expression 3x2+12x3x^2 + 12x3x2+12x .

Solve the quadratic equation by factoring: x2−5x+6=0x^2 - 5x + 6 = 0x2−5x+6=0 .

To solve the quadratic equation by factoring x^2 - 5x + 6 = 0, we need to find two numbers that multiply to 6 and add up to -5. These numbers are -2 and -3, so the solutions are x = 2, 3.

Factor the quadratic expression 4x2−4x−84x^2 - 4x - 84x2−4x−8 .

Choose 4 as the common factor and factor the quadratic expression to get 4(x - 2)(x + 1).

Factor the quadratic expression x2+6x+9x^2 + 6x + 9x2+6x+9 .

To factor the quadratic expression x^2 + 6x + 9, we recognize that it is a perfect square trinomial, which factors to (x + 3)^2.

Solve the quadratic equation by factoring: 3x2+18x+27=03x^2 + 18x + 27 = 03x2+18x+27=0 .

To solve the quadratic equation by factoring, we can factor out a common factor of 3 from all terms to get (x + 3)^2 = 0. Solving for x gives x = -3.

Factor the quadratic expression 6x2+11x+36x^2 + 11x + 36x2+11x+3 . (a)

Identify the common factor in the expression 8x2+20x+128x^2 + 20x + 128x2+20x+12 .

The common factor in the expression 8x^2 + 20x + 12 is 4, as it can be factored out from each term to simplify the expression.

A rectangular garden has an area given by the quadratic expression x2+5x−24x^2 + 5x - 24x2+5x−24 . If the width of the garden is (x−3)(x - 3)(x−3) meters, what is the length of the garden?

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Discover more resources for Mathematics

Factor the quadratic expression $x^2 + 7x + 10$ .

(a)

Factor the quadratic expression $2x^2 + 8x + 6$ .

Identify the common factor in the expression $3x^2 + 12x$ .

Solve the quadratic equation by factoring: $x^2 - 5x + 6 = 0$ .

Factor the quadratic expression $4x^2 - 4x - 8$ .

Factor the quadratic expression $x^2 + 6x + 9$ .

Solve the quadratic equation by factoring: $3x^2 + 18x + 27 = 0$ .

Factor the quadratic expression $6x^2 + 11x + 3$ .

(a)

Identify the common factor in the expression $8x^2 + 20x + 12$ .

A rectangular garden has an area given by the quadratic expression $x^2 + 5x - 24$ . If the width of the garden is $(x - 3)$ meters, what is the length of the garden?