Complete the factoring. x^(2)+6x-40=(x-4)(◻)

Identify Factors: To factor the quadratic polynomial x^2 + 6x - 40, we need to find two numbers that multiply to give -40 (the constant term) and add to give 6 (the coefficient of the x term).Find Pair Sum: We list pairs of factors of -40 and check which pair sums up to 6. The pairs are (-1, 40), (1, -40), (-2, 20), (2, -20), (-4, 10), and (4, -10). The pair that adds up to 6 is (10, -4).Write as Binomials: Now we write the polynomial as a product of two binomials using the numbers 10 and -4. The factored form is (x + 10)(x - 4).

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Complete the factoring.

x^(2)+6x-40=(x-4)(◻)

Complete the factoring. $\newline$ $x^{2}+6x-40=(x-4)(\square)$

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Q. Complete the factoring.

\newline

x^{2}+6x-40=(x-4)(\square)

Identify Factors: To factor the quadratic polynomial $x^2 + 6x - 40$ , we need to find two numbers that multiply to give $-40$ (the constant term) and add to give $6$ (the coefficient of the $x$ term).
Find Pair Sum: We list pairs of factors of $-40$ and check which pair sums up to $6$ . The pairs are $(-1, 40)$ , $(1, -40)$ , $(-2, 20)$ , $(2, -20)$ , $(-4, 10)$ , and $(4, -10)$ . The pair that adds up to $6$ is $(10, -4)$ .
Write as Binomials: Now we write the polynomial as a product of two binomials using the numbers $10$ and $-4$ . The factored form is $(x + 10)(x - 4)$ .