Factorise 54x-2 - 42x-3 - 30x-4- - Math Q-A

Factorise the polynomial54x^2+42x^3 30x^40ex0ex= 30x^4+42x^3+54x^20ex0ex= 6x^2(5x^2 7x 9)Hence, the factors of 54x^2+42x^3 30x^4 are 6x^2and (5x^2 7x 9). ...

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Standard IX

Mathematics

Polynomials

Factorise 54x...

Question

Factorise: $54 x^{2} + 42 x^{3} - 30 x^{4} .$

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Solution

Factorise the polynomial
$54 x^{2} + 42 x^{3} - 30 x^{4} = - 30 x^{4} + 42 x^{3} + 54 x^{2} = - 6 x^{2} (5 x^{2} - 7 x - 9)$
Hence, the factors of $54 x^{2} + 42 x^{3} - 30 x^{4}$ are $- 6 x^{2}$ and $(5 x^{2} - 7 x - 9)$ .

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Factorise: 54x2+42x3-30x4.

Factorise the polynomial54x2+42x3-30x4=-30x4+42x3+54x2=-6x2(5x2-7x-9)Hence, the factors of 54x2+42x3-30x4 are -6x2and (5x2-7x-9).

Factorise: $54 x^{2} + 42 x^{3} - 30 x^{4} .$

Factorise the polynomial
$54 x^{2} + 42 x^{3} - 30 x^{4} = - 30 x^{4} + 42 x^{3} + 54 x^{2} = - 6 x^{2} (5 x^{2} - 7 x - 9)$
Hence, the factors of $54 x^{2} + 42 x^{3} - 30 x^{4}$ are $- 6 x^{2}$ and $(5 x^{2} - 7 x - 9)$ .