Question

factorise the following b2 - 11b +24

Answer 1

b² - 11b + 24

=b² - (3 + 8)b + 24

=b² - 3b - 8b + 24

=b (b - 3) - 8(b - 3)

=(b - 8) (b - 3)

Answer 2

This equation is in the form of

$a{x}^{2} + bx + c$

${b}^{2} - 11b + 24$

So, we can use the method of splitting the middle term.

${b}^{2} - 8b \: - \: 3b \: + 24$

$b(b - 8) - 3(b - 8)$

$= (b - 3)(b - 8)$

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