Factor as the product of two binomials. x^(2)+10 x+24=

Identify Quadratic Trinomial Form: Identify the form of the quadratic trinomial. x^2 + 10x + 24 represents the form ax^2 + bx + c, where a = 1, b = 10, and c = 24.Determine Factors of Constant Term: Determine the factors of the constant term, c, that add up to the coefficient of the x term, b. We need to find two numbers that multiply to 24 (the value of c) and add up to 10 (the value of b).List Pairs of Factors: List the pairs of factors of 24. The pairs of factors of 24 are (1, 24), (2, 12), (3, 8), and (4, 6).Identify Correct Pair of Factors: Identify the correct pair of factors that add up to 10. Out of the pairs listed, (4, 6) is the pair that adds up to 10.Write Factored Form: Write the factored form of the expression x^2 + 10x + 24 using the identified pair of factors. The factored form is (x + 4)(x + 6).

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Q. Factor as the product of two binomials.

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x^{2}+10x+24=

Identify Quadratic Trinomial Form: Identify the form of the quadratic trinomial. $x^2 + 10x + 24$ represents the form $ax^2 + bx + c$ , where $a = 1$ , $b = 10$ , and $c = 24$ .
Determine Factors of Constant Term: Determine the factors of the constant term, $c$ , that add up to the coefficient of the $x$ term, $b$ . $\newline$ We need to find two numbers that multiply to $24$ (the value of $c$ ) and add up to $10$ (the value of $b$ ).
List Pairs of Factors: List the pairs of factors of $24$ . $\newline$ The pairs of factors of $24$ are $(1, 24)$ , $(2, 12)$ , $(3, 8)$ , and $(4, 6)$ .
Identify Correct Pair of Factors: Identify the correct pair of factors that add up to $10$ . $\newline$ Out of the pairs listed, $(4, 6)$ is the pair that adds up to $10$ .
Write Factored Form: Write the factored form of the expression $x^2 + 10x + 24$ using the identified pair of factors. $\newline$ The factored form is $(x + 4)(x + 6)$ .