This task is based on the concept of factorising a quadratic polynomial by splitting the middle term.
Example Factorise by splitting the middle term x^2 + 6x + 8
Step 1: Observe the product of coefficient of x^2 and constant term. It is (1)(8) = 8
Step 2: Observe the coefficient of x. It is 6
Step3: Think of two numbers whose product is 8 and sum is 6.
2x4 = 8
2+4 = 6
Step 4: Write 6x = 2x+4x
x^2 + 6x+ 8
=x^2 + 2x + 4x + 8
Step 5: Take out the common factors as shown below
x(x + 2) + 4(x + 2)
=(x + 4)(x + 2)
Watch this Interactive lesson
Watch this Video for explanation:
Factorise the following by splitting the middle term:
1. 1 - 6x + 9x^2
2.x^2 - 7x – 18
3. 4x^2 + 5x + 1
4. x^2 + 4x + 3
5.2x^2 + 3x + 1
6. 4x^2 + 8x + 3
7. x^2 + 7x +12
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