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Factorisation by Regrouping Terms

Factorise: ...

Question

Factorise: $x^{2} + 15 x + 56$

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Solution

$\begin{matrix} x^{2} + 15 x + 56 O n s p l i t t i n g : - = x^{2} + 7 x + 8 x + 56 = x (x + 7) + 8 (x + 7) = (x + 7) (x + 8) \end{matrix}$

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x^{2} - 15 x + 56

x^{2} - 15 x + 56

\frac{x^{2} + 11 x + 24}{x^{2} - 15 x + 56} \div \frac{x^{2} - x - 12}{x^{2} - 11 x + 28} .

Q. The two linear factors of

x^{2} - 15 x + 56

Q. Find the common root of

x^{2} - 15 x + 56 = 0 x^{2} - 17 x + 72 = 0

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Factorisation by Regrouping Terms

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