Question

Factorise the expression by common factor method: $10x^2+18x^3+14x^4$ (2 Marks)

Answer 1

$10x^2+18x^3+14x^4$
$=2\times 5\times x\times x+2\times 3\times 3\times x\times x\times x+2\times 7\times x\times x\times x\times x$
(1 Mark)
$=2x^2(5+9x+7x^2)$

Hence, factor of $10x^2+18x^3+14x^4$ are $2x^2$ and $(5+9x+7x^2)$ (1 Mark)