factorise x^3-6x^2+3x+10 given that (x+1) is a factor.
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Answered by
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Given f(x) = x^3 - 6x^2 + 3x + 10.
= > x^3 - 7x^2 + x^2 + 10x - 7x + 10
= > (x + 1)(x^2 - 7x + 10)
= > (x + 1)(x^2 - 2x - 5x + 10)
= > (x + 1)(x(x - 2) - 5(x - 2))
= > (x + 1)(x - 2)(x - 5)
Therefore the factors of x^3 - 6x^2 + 3x + 10 = (x + 1)(x - 2)(x - 5).
Hope this helps!
= > x^3 - 7x^2 + x^2 + 10x - 7x + 10
= > (x + 1)(x^2 - 7x + 10)
= > (x + 1)(x^2 - 2x - 5x + 10)
= > (x + 1)(x(x - 2) - 5(x - 2))
= > (x + 1)(x - 2)(x - 5)
Therefore the factors of x^3 - 6x^2 + 3x + 10 = (x + 1)(x - 2)(x - 5).
Hope this helps!
siddhartharao77:
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1
Brainlist it if it helps you. please
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