Factor completely: 9x+8x^(2)-x^(3) Answer:

Write Standard Form: Write the polynomial in standard form by ordering the terms from highest degree to lowest degree. Rearrange the terms: -x^3 + 8x^2 + 9xFactor Out GCF: Factor out the greatest common factor (GCF) from the polynomial. In this case, the GCF is x. Factor out x: x(-x^2 + 8x + 9)Factor Quadratic Expression: Now, factor the quadratic expression inside the parentheses. Identify a, b, and c in the quadratic expression -x^2 + 8x + 9. a = -1 b = 8 c = 9 Find two numbers whose product is a*c (-1*9 = -9) and whose sum is b (8). The numbers are 1 and -9 because 1*(-9) = -9 and 1+(-9) = -8, which is not equal to b. This indicates a mistake has been made.

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Factor polynomials

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Q. Factor completely:

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9 x+8 x^{2}-x^{3}

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Answer:

Write Standard Form: Write the polynomial in standard form by ordering the terms from highest degree to lowest degree. $\newline$ Rearrange the terms: $-x^3 + 8x^2 + 9x$
Factor Out GCF: Factor out the greatest common factor (GCF) from the polynomial. In this case, the GCF is $x$ . Factor out $x$ : $x(-x^2 + 8x + 9)$
Factor Quadratic Expression: Now, factor the quadratic expression inside the parentheses. $\newline$ Identify $a$ , $b$ , and $c$ in the quadratic expression $-x^2 + 8x + 9$ . $\newline$ $a = -1$ $\newline$ $b = 8$ $\newline$ $c = 9$ $\newline$ Find two numbers whose product is $a*c$ ( $-1*9 = -9$ ) and whose sum is $b$ ( $b$ $0$ ). $\newline$ The numbers are $b$ $1$ and $b$ $2$ because $b$ $3$ and $b$ $4$ , which is not equal to $b$ . This indicates a mistake has been made.