Math / Algebra

QuestionOverview 1 2 3 4 5 6 7 8 9 10 Question Progress Classwork Progress 41 / 92 Marks a)
Factorise fully the following: a) $2 x+10$ b) $5 x-15$ c) $8 x+6$ c) d) $12 x-8$ d)

Studdy Solution

STEP 1

1. We are tasked with factorizing each expression fully.
2. Each expression is a linear polynomial.
3. The goal is to find the greatest common factor (GCF) for each expression and factor it out.

STEP 2

1. Identify the greatest common factor (GCF) for each expression.
2. Factor out the GCF from each expression.

STEP 3

For expression $2x + 10$ : - Identify the GCF of the coefficients 2 and 10, which is 2.
$2x + 10 = 2(x + 5)$

STEP 4

For expression $5x - 15$ : - Identify the GCF of the coefficients 5 and 15, which is 5.
$5x - 15 = 5(x - 3)$

STEP 5

For expression $8x + 6$ : - Identify the GCF of the coefficients 8 and 6, which is 2.
$8x + 6 = 2(4x + 3)$

STEP 6

For expression $12x - 8$ : - Identify the GCF of the coefficients 12 and 8, which is 4.
$12x - 8 = 4(3x - 2)$
The fully factorized forms of the expressions are: a) $2(x + 5)$ b) $5(x - 3)$ c) $2(4x + 3)$ d) $4(3x - 2)$

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QuestionOverview 1 2 3 4 5 6 7 8 9 10 Question Progress Classwork Progress 41 / 92 Marks a)
Factorise fully the following: a) $2 x+10$ b) $5 x-15$ c) $8 x+6$ c) d) $12 x-8$ d)

Studdy Solution

STEP 1

1. We are tasked with factorizing each expression fully.
2. Each expression is a linear polynomial.
3. The goal is to find the greatest common factor (GCF) for each expression and factor it out.

STEP 2

1. Identify the greatest common factor (GCF) for each expression.
2. Factor out the GCF from each expression.

STEP 3

For expression $2x + 10$ : - Identify the GCF of the coefficients 2 and 10, which is 2.
$2x + 10 = 2(x + 5)$

STEP 4

For expression $5x - 15$ : - Identify the GCF of the coefficients 5 and 15, which is 5.
$5x - 15 = 5(x - 3)$

STEP 5

For expression $8x + 6$ : - Identify the GCF of the coefficients 8 and 6, which is 2.
$8x + 6 = 2(4x + 3)$

STEP 6

For expression $12x - 8$ : - Identify the GCF of the coefficients 12 and 8, which is 4.
$12x - 8 = 4(3x - 2)$
The fully factorized forms of the expressions are: a) $2(x + 5)$ b) $5(x - 3)$ c) $2(4x + 3)$ d) $4(3x - 2)$

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QuestionOverview 1 2 3 4 5 6 7 8 9 10 Question Progress Classwork Progress 41 / 92 Marks a)Factorise fully the following: a) 2x+102 x+102x+10 b) 5x−155 x-155x−15 c) 8x+68 x+68x+6 c) d) 12x−812 x-812x−8 d)

Studdy Solution

STEP 1

1. We are tasked with factorizing each expression fully.2. Each expression is a linear polynomial.3. The goal is to find the greatest common factor (GCF) for each expression and factor it out.

STEP 2

1. Identify the greatest common factor (GCF) for each expression.2. Factor out the GCF from each expression.

STEP 3

For expression 2x+102x + 102x+10: - Identify the GCF of the coefficients 2 and 10, which is 2.2x+10=2(x+5) 2x + 10 = 2(x + 5) 2x+10=2(x+5)

STEP 4

For expression 5x−155x - 155x−15: - Identify the GCF of the coefficients 5 and 15, which is 5.5x−15=5(x−3) 5x - 15 = 5(x - 3) 5x−15=5(x−3)

STEP 5

For expression 8x+68x + 68x+6: - Identify the GCF of the coefficients 8 and 6, which is 2.8x+6=2(4x+3) 8x + 6 = 2(4x + 3) 8x+6=2(4x+3)

STEP 6

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QuestionOverview 1 2 3 4 5 6 7 8 9 10 Question Progress Classwork Progress 41 / 92 Marks a)
Factorise fully the following: a) $2 x+10$ b) $5 x-15$ c) $8 x+6$ c) d) $12 x-8$ d)

1. We are tasked with factorizing each expression fully.
2. Each expression is a linear polynomial.
3. The goal is to find the greatest common factor (GCF) for each expression and factor it out.

1. Identify the greatest common factor (GCF) for each expression.
2. Factor out the GCF from each expression.

For expression $2x + 10$ : - Identify the GCF of the coefficients 2 and 10, which is 2.
$2x + 10 = 2(x + 5)$

For expression $5x - 15$ : - Identify the GCF of the coefficients 5 and 15, which is 5.
$5x - 15 = 5(x - 3)$

For expression $8x + 6$ : - Identify the GCF of the coefficients 8 and 6, which is 2.
$8x + 6 = 2(4x + 3)$