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$X^2+15x+44$

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Factor quadratics

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Q.

X^2+15x+44

Identify Factors and Sum: Identify the factors of $44$ that add up to $15$ . $\newline$ Factors of $44$ : $1, 44$ ; $2, 22$ ; $4, 11$ . $\newline$ $4 + 11 = 15$ .
Write Binomial Expression: Write the expression as a product of two binomials. $\newline$ $(X + 4)(X + 11)$ .
Check Factored Form: Check the factored form by expanding (distributing) to see if it gives the original expression. $\newline$ $(X + 4)(X + 11) = X^2 + 4X + 11X + 44 = X^2 + 15X + 44$ .

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