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Factorisation of Quadratic Polynomials- Middle Term Splitting

Factorise: 3/...

Question

Factorise:
$\frac{3}{2} x^{2} + 16 x + 10$

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Solution

$\frac{3}{2} x^{2} + 16 x + 10 \Rightarrow \frac{1}{2} [3 x^{2} + 32 x + 20] \Rightarrow \frac{1}{2} [3 x^{2} + 30 x + 2 x + 20] \Rightarrow \frac{1}{2} [3 x (x + 10) + 2 (x + 10)] \Rightarrow \frac{1}{2} [(3 x + 2) (x + 10)]$

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Factorisation of Quadratic Polynomials- Middle Term Splitting

Standard IX Mathematics

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