What is the factorization of the trinomial below?x3 - 10x2 + 24xA.x(x - 6)(x - 4)B.(x2 - 6)(x + 4)C.(x - 6)(x + 4)D.x(x - 6)(x + 4)SUBMITarrow_backPREVIOUS
Question
What is the factorization of the trinomial below?x3 - 10x2 + 24xA.x(x - 6)(x - 4)B.(x2 - 6)(x + 4)C.(x - 6)(x + 4)D.x(x - 6)(x + 4)SUBMITarrow_backPREVIOUS
Solution
The factorization of the trinomial x^3 - 10x^2 + 24x is done by factoring out the greatest common factor (GCF) first. The GCF in this case is x.
So, we get x(x^2 - 10x + 24).
Next, we factorize the quadratic equation x^2 - 10x + 24. We are looking for two numbers that multiply to 24 and add up to -10. Those numbers are -6 and -4.
So, the factorization of the quadratic equation is (x - 6)(x - 4).
Therefore, the factorization of the trinomial x^3 - 10x^2 + 24x is x(x - 6)(x - 4).
So, the correct answer is A. x(x - 6)(x - 4).
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