Question

factorise x cube +13x square+31x-45 by factor theorem​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let p(x) = x³+13x²+31x-45

By trial, we divide p(x) by (x-1),

Then,

(x³+13x²+31x-45)÷(x-1) = x²+14x+45

So,

x³+13x²+31x-45 = (x-1) × (x²+14x+45)

= (x-1)×{x²+5x+9x+45}

= (x-1) × {x(x+5)+9(x+5)}

= (x-1)(x+5)(x+9)

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