i) Factorise x^2 – 7x + 12 ii) Solve x^2 – 7x + 12

i)STEP 1: Make 2 brackets and put an x in each one: (x )(x )
STEP 2: Find 2 numbers when multiplied together make 12 and when added together they make -7
Multiples of 12:
1 x 12 --> 1+12=13 2 x 6 --> 2+6=8 3 x 4 --> 3+4=7-1 x -12 --> -1 + -12 = -13-2 x -6 --> -2 + -6 = -8-3 x -4 --> -3 + -4 = -7
From this, we can see the appropriate multiples would be -3 and -4.
STEP 3: Put -3 and -4 into the brackets now --> (x - 3)(x - 4)
ii)STEP 1: Make the factorised quadratic equal to 0
(x - 3)(x - 4) = 0
STEP 2: Understand that anything multiplied by 0 will always equal to 0
So for (x - 3)(x - 4) to equal 0, (x - 3) = 0 and/or (x - 4) = 0
STEP 3: Solve each bracket
(x - 3) = 0 --> 3 -3 = 0 therefore x = 3(x - 4) = 0 --> 4 - 4 = 0 therefore x = 4
Therefore, solving x2 -7x +12 --> x = 3, 4

HC
Answered by Hashir C. Maths tutor

3561 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The turning point on a quadratic function


A quadrilateral has a perimeter of 42cm. Three sides have equal length and the fourth side is longer by 6cm. What is the length of the fourth side?


what is the value of 27 to the power of -2/3


Show that the square of any odd number is an odd number


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences