Question

factorise 8x⁴-12x³-6x²​

Answer 1

Your Question :

Factorise 8x⁴ -12x³ -6x².

Given :

• Algebraic expression → 8x⁴ -12x³ -6x²

To Do :

• Factorise the given algebraic expression.

Solution :

(HCF of the numerical coefficients) = (HCF of 8,12 and 6) = 2.

The highest power of x common to all the terms is x².

➻ The common factor in all the terms is 2 × x² = 2x².

$\sf{{∴ \: 8x⁴ - 12x³ - 6x² = 2x²( \frac{8x⁴ - 12x³ - 6x²}{2x²} ) \: }{ \: }}$

➯ 2x²(4x² - 6x - 3).

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