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