Factorisation of quadratic expression quiz

Question 1

Factorise

x² + 3x + 2

Answer 1

The factors are only 1 * 2 and (-1) * (-2)

Since 1 + 2 = 3

The answer is

(x + 1)(x + 2)

Question 2

Factorise

x² - 3x + 2

Answer 2

The factors are only 1 * 2 and (-1) * (-2)

Since (-1) + (-2) = -3

The answer is

(x - 1)(x - 2)

Question 3

Factorise

x² + 6x + 8

Answer 3

The factors are

1 *8 and (-1) * (-8)

2 * 4 and (2) * (-4)

Since 2 + 4 = 6

The answer is

(x + 2)(x + 4)

Question 4

Factorise

x² - 6x + 8

Answer 4

The factors are

1 *8 and (-1) * (-8)

2 * 4 and (2) * (-4)

Since (-2) + (-4) = -6

The answer is

(x - 2)(x - 4)

Question 5

Factorise

x² + 7x + 12

Answer 5

The factors are

1 * 12 and (-1) * (-12)

2 * 6 and (-2) * (-6)

3 * 4 and (-3) * (-4)

Since 3 + 4 = 7

The answer is

(x + 3)(x + 4)

Question 6

Factorise

x² - 7x + 12

Answer 6

The factors are

1 * 12 and (-1) * (-12)

2 * 6 and (-2) * (-6)

3 * 4 and (-3) * (-4)

Since (-3) + (-4) = -7

The answer is

(x - 3)(x - 4)

Question 7

Factorise

x² + x - 12

Answer 7

The factors are

1 * (-12) and (-1) * 12

2 * (-6) and (-2) * 6

3 * (-4) and (-3) * 4

Since (-3) + 4 = 1

The answer is

(x - 3)(x + 4)

Question 8

Factorise

x² - x - 12

Answer 8

The factors are

1 * (-12) and (-1) * 12

2 * (-6) and (-2) * 6

3 * (-4) and (-3) * 4

Since (3) + (-4) = -1

The answer is

(x + 3)(x - 4)

Question 9

Factorise

x² - 4x - 12

Answer 9

The factors are

1 * (-12) and (-1) * 12

2 * (-6) and (-2) * 6

3 * (-4) and (-3) * 4

Since 2 + (-6) = -4

The answer is

(x + 2)(x - 6)

Question 10

Factorise

x² + 11x - 12

Answer 10

The factors are

1 * (-12) and (-1) * 12

2 * (-6) and (-2) * 6

3 * (-4) and (-3) * 4

Since 12 + (-1) = 11

The answer is

(x + 12)(x - 1)

Question 11

Factorise

x² - 11x - 12

Answer 11

The factors are

1 * (-12) and (-1) * 12

2 * (-6) and (-2) * 6

3 * (-4) and (-3) * 4

Since 1 + (-12) = -11

The answer is

(x - 12)(x + 1)