Factor completely: x^(3)-9x^(2)+14 x Answer:

Identify common factors: Identify common factors in all terms of the polynomial x^3 - 9x^2 + 14x. We can see that each term has an 'x' in it, so we can factor out an 'x' from the polynomial. x(x^2 - 9x + 14)Factor the quadratic expression: Factor the quadratic expression x^2 - 9x + 14. We need to find two numbers that multiply to 14 and add up to -9. These numbers are -7 and -2. x(x - 7)(x - 2)Check factored form: Check the factored form by expanding it to ensure it matches the original polynomial. x(x - 7)(x - 2) = x(x^2 - 7x - 2x + 14) = x(x^2 - 9x + 14) = x^3 - 9x^2 + 14x The expanded form matches the original polynomial, so the factoring is correct.

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Factor completely:

x^(3)-9x^(2)+14 x
Answer:

Factor completely: $\newline$ $x^{3}-9 x^{2}+14 x$ $\newline$ Answer:

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Q. Factor completely:

\newline

x^{3}-9 x^{2}+14 x

\newline

Answer:

Identify common factors: Identify common factors in all terms of the polynomial $x^3 - 9x^2 + 14x$ . We can see that each term has an ' $x$ ' in it, so we can factor out an ' $x$ ' from the polynomial. $x(x^2 - 9x + 14)$
Factor the quadratic expression: Factor the quadratic expression $x^2 - 9x + 14$ . We need to find two numbers that multiply to $14$ and add up to $-9$ . These numbers are $-7$ and $-2$ . $x(x - 7)(x - 2)$
Check factored form: Check the factored form by expanding it to ensure it matches the original polynomial. $\newline$ $x(x - 7)(x - 2) = x(x^2 - 7x - 2x + 14) = x(x^2 - 9x + 14) = x^3 - 9x^2 + 14x$ $\newline$ The expanded form matches the original polynomial, so the factoring is correct.