Lesson details

Key learning points

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

Licence

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6 Questions

Q1.
Fill in the gap: ________ is the opposite of expanding.
Correct answer: Factorising
Increasing
Quadratics
Solving
Q2.
Factorise x² + 11x + 24.
(x+2)(x+12)
Correct answer: (x+3)(x+8)
(x+5)(x+6)
(x+6)(x+4)
Q3.
Factorise x² + 14x + 24.
Correct answer: (x+2)(x+12)
(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)
Correct answer: (x+4)²
(x+8)(x+2)
Q5.
Factorise x² - 25.
(x-5)
(x-5)²
Correct answer: (x+5)(x-5)
(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
Correct answer: 21, 12, 9

7 Questions

Q1.
Fill in the gap: ________ is the opposite of expanding.
Correct answer: Factorising
Increasing
Quadratics
Solving
Q2.
Factorise x² + 14x + 24.
Correct answer: (x+2)(x+12)
(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?
Correct answer: No, Cala is incorrect, there DOES exist a pair of factors of 8 that add to give a negative number.
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.
Correct answer: (x-5)(x+2)
(x+3)(x-1)
(x+5)(x-2)
(x+5)(x+2)
Q5.
Factorise x² - 9x + 14.
Correct answer: (x-7)(x-2)
(x-7)(x+2)
(x+7)(x-2)
(x+7)(x+2)
Q6.
Factorise x² - 36.
(x-6)²
(x-6)6
Correct answer: (x+6)(x-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
Correct answer: -19, -8, -1
-20 to -1
-21, -12, -9

Lesson appears in

UnitMaths / Quadratic expressions (9.9)