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