What are the solutions to the equation? x3+3×2−4x−12=0 Enter your answers in the boxes. x= x=

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What are the solutions to the equation? x3+3×2−4x−12=0
Enter your answers in the boxes.
x= x= x=

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    2022-01-06T00:52:12+00:00

    So with this, we are going to be factoring by grouping. Firstly, factor x³ + 3x² and -4x – 12 separately. Make sure that they have the same quantity on the inside:

    x^2(x+3)-4(x+3)=0

    Now you can rewrite this equation as (x^2-4)(x+3)=0 . However we are not finished yet.

    With x² – 4, we will be applying the difference of squares, which is “(x² – y²) = (x + y)(x – y)”. Apply this here as such:

    (x^2-4)=(x+2)(x-2)\\\\(x+2)(x-2)(x+3)=0

    Now apply the zero product property and solve for x:

    x+2=0\\x=-2\\\\x-2=0\\x=2\\\\x+3=0\\x=-3

    Your answers are x = -2, x = 2, and x = -3.

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