Factor completely: 45x^(2)-168 x-3x^(3) Answer:

Rearrange in descending order: Rearrange the terms in descending order of the powers of x. We need to write the polynomial in standard form, which is from the highest power of x to the lowest. 45x^2 - 168x - 3x^3 = -3x^3 + 45x^2 - 168xFactor out GCF: Factor out the greatest common factor (GCF) from the polynomial. The GCF of the coefficients -3, 45, and -168 is 3, and they all have at least one x in common, so we can factor out -3x. -3x^3 + 45x^2 - 168x = -3x(x^2 - 15x + 56)Factor quadratic expression: Factor the quadratic expression inside the parentheses. We need to find two numbers that multiply to 56 and add up to -15. These numbers are -7 and -8. -3x(x^2 - 15x + 56) = -3x(x - 7)(x - 8)

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Factor completely:

45x^(2)-168 x-3x^(3)
Answer:

Factor completely: $\newline$ $45 x^{2}-168 x-3 x^{3}$ $\newline$ Answer:

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Q. Factor completely:

\newline

45 x^{2}-168 x-3 x^{3}

\newline

Answer:

Rearrange in descending order: Rearrange the terms in descending order of the powers of $x$ . We need to write the polynomial in standard form, which is from the highest power of $x$ to the lowest. $45x^2 - 168x - 3x^3 = -3x^3 + 45x^2 - 168x$
Factor out GCF: Factor out the greatest common factor (GCF) from the polynomial. $\newline$ The GCF of the coefficients $-3 ext{, } 45 ext{, and } -168$ is $3$ , and they all have at least one $x$ in common, so we can factor out $-3x$ . $\newline$ $-3x^3 + 45x^2 - 168x = -3x(x^2 - 15x + 56)$
Factor quadratic expression: Factor the quadratic expression inside the parentheses. $\newline$ We need to find two numbers that multiply to $56$ and add up to $-15$ . These numbers are $-7$ and $-8$ . $\newline$ $-3x(x^2 - 15x + 56) = -3x(x - 7)(x - 8)$