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a^(2)-11 a+24

$a^{2}-11 a+24$

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Factor polynomials

Full solution

Q.

a^{2}-11 a+24

Identify Coefficients: Identify the coefficients of the quadratic expression, which are $1$ , $-11$ , and $24$ .
Find Multiplying Numbers: Find two numbers that multiply to $24$ (the constant term) and add to $-11$ (the coefficient of the middle term). $\newline$ Calculation: Factors of $24$ that add up to $-11$ are $-8$ and $-3$ .
Write Factored Form: Write the factored form of the quadratic expression using the factors found in the previous step. $\newline$ Calculation: The factored form is $(a - 8)(a - 3)$ .

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