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How do you factor #x^4-x^3-6x^2#?

Answer 1

Isaiah Anthony

#x^2 (x - 2)(x + 6)#

Given: #x^4 - x^3 - 6x^2#

Factor: #" "x^2(x^2 - x - 6) = x^2 (x - 2)(x + 6)#

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Answer 2

Julia Adams

To factor the expression ( x^4 - x^3 - 6x^2 ), you can first factor out the greatest common factor, which is ( x^2 ), to get ( x^2(x^2 - x - 6) ). Then, factor the quadratic expression inside the parentheses, ( x^2 - x - 6 ), into two binomial factors. These factors will be ((x - 3)) and ((x + 2)). So, the factored form of ( x^4 - x^3 - 6x^2 ) is ( x^2(x - 3)(x + 2) ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.