# Factorising quadratics (Part 2)

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## Lesson details

### Key learning points

- In this lesson, we will further develop your ability to factorise quadratics by spotting factors of terms.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 6 Questions

Q1.

Fill in the gap: ________ is the opposite of expanding.

Increasing

Quadratics

Solving

Q2.

Factorise x² + 11x + 24.

(x+2)(x+12)

(x+5)(x+6)

(x+6)(x+4)

Q3.

Factorise x² + 14x + 24.

(x+3)(x+8)

(x+5)(x+6)

(x+6)(x+4)

Q4.

Factorise x² + 8x + 16.

(x+16)(x+1)

(x+4)(x+2)

(x+8)(x+2)

Q5.

Factorise x² - 25.

(x-5)

(x-5)²

(x+5)²

Option 5

Q6.

A quadratic expression x² + bx + 20 can be factorised. Find all the possible values for b when b is positive.

1 to 20

1, 20, 2, 10, 5, 4

15, 5

### 7 Questions

Q1.

Fill in the gap: ________ is the opposite of expanding.

Increasing

Quadratics

Solving

Q2.

Factorise x² + 14x + 24.

(x+3)(x+8)

(x+5)(x+6)

(x+6)(x+4)

Q3.

Cala says that you cannot factorise x² -9x + 8 because there does not exist a pair of factors for 8 that add to give a negative number. Is she correct?

Yes, Cala is correct, there DOES NOT exist a pair of factors of 8 that add to give a negative number.

Q4.

Factorise x² - 3x - 10.

(x+3)(x-1)

(x+5)(x-2)

(x+5)(x+2)

Q5.

Factorise x² - 9x + 14.

(x-7)(x+2)

(x+7)(x-2)

(x+7)(x+2)

Q6.

Factorise x² - 36.

(x-6)²

(x-6)6

(x+6)²

Q7.

A quadratic expression x² + bx - 20 can be factorised. Find all the possible values for b when b is negative.

-1, -20, -2, -10, -5, -4

-20 to -1

-21, -12, -9