Factor completely: x^(3)-5x^(2)+4x Answer:

Identify Common Factors: Identify common factors in all terms of the polynomial x^3 - 5x^2 + 4x. We can see that each term has an 'x' in it, so we can factor out an 'x' from the polynomial. x(x^2 - 5x + 4)Factor Quadratic Expression: Factor the quadratic expression x^2 - 5x + 4. We need to find two numbers that multiply to 4 and add up to -5. These numbers are -4 and -1. (x - 4)(x - 1)Combine Factored Terms: Combine the factored out 'x' from Step 1 with the factored quadratic from Step 2. x(x - 4)(x - 1) This is the completely factored form of the polynomial.

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Factor completely:

x^(3)-5x^(2)+4x
Answer:

Factor completely: $\newline$ $x^{3}-5 x^{2}+4 x$ $\newline$ Answer:

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Q. Factor completely:

\newline

x^{3}-5 x^{2}+4 x

\newline

Answer:

Identify Common Factors: Identify common factors in all terms of the polynomial $x^3 - 5x^2 + 4x$ . We can see that each term has an ' $x$ ' in it, so we can factor out an ' $x$ ' from the polynomial. $x(x^2 - 5x + 4)$
Factor Quadratic Expression: Factor the quadratic expression $x^2 - 5x + 4$ . We need to find two numbers that multiply to $4$ and add up to $-5$ . These numbers are $-4$ and $-1$ . $(x - 4)(x - 1)$
Combine Factored Terms: Combine the factored out ' extit{x}' from Step $1$ with the factored quadratic from Step $2$ . $\newline$ $x(x - 4)(x - 1)$ $\newline$ This is the completely factored form of the polynomial.