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Laabri

Algebra 1 8-6 Guided Practice: Factoring ax² + bx+ c

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Last updated over 4 years ago
12 Nsɛmmisa
10
A.APR.1
A.SSE.1.a
10
A.SSE.1.a
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10
A.APR.1
A.SSE.1.a
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Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Take Note: Factoring when ac is positive.

To factor the expression below, you will need to find factors of ac that have a sum of b.

5x^{2}+11x+2

What two numbers have a product of 10 and a sum of 11?

4
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4.

Problem 1 Got It? Drag two binomial factors to the trinomial to represent its factored form.

  • (3x + 2)

  • (3x + 1)

  • (3x + 5)

  • (2x + 1)

  • 6x² + 13x + 5

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Problem 1 Got It? Reasoning: Consider the trinomial below.

Suppose ac is positive and b is negative. What do you know about the factors of ac?

4
4
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8.

Problem 2 Got It?

A.APR.1
A.SSE.1.a
10
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9.

Problem 3 Got It?

A.APR.1
A.SSE.1.a
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10.

Take Note: Match each expression with its GCF monomial.

Draggable itemarrow_right_altCorresponding Item

18x^{2}-33x+12

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6x

24x^{2}-16x+2

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4

12x^{2}-6x+4

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3

12x^{2}-6x

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2

10
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11.

Problem 4 Got It?

A.APR.1
A.SSE.1.a
10
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12.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Solve It! An array of three rectangular solar panels has the area below:

The height of the array is x + 3. What is the length of the array?

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Take Note: Factoring when ac is positive.

To factor the expression below, you will need to find factors of ac that have a sum of b.

6x^{2}+13x+5

What two numbers have a product of 30 and a sum of 13?

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Take Note: Factoring when ac is negative.

To factor the expression below, you will need to find factors of ac that have a sum of b.

3x^{2}+4x-15

What two numbers have a product of -45 and a sum of 4?

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Take Note: Factoring when ac is negative.

To factor the expression below, you will need to find factors of ac that have a sum of b.

10x^{2}+31x-14

What two numbers have a product of -140 and a sum of 31?