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Factor.

x^(2)+17 x+70
Answer:

Factor. $\newline$ $x^{2}+17 x+70$ $\newline$ Answer:

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Solve equations with variable exponents

Full solution

Q. Factor.

\newline

x^{2}+17 x+70

\newline

Answer:

Identify Quadratic Expression: Identify the quadratic expression to be factored. $\newline$ The given expression is $x^2 + 17x + 70$ .
Find Multiplying Numbers: Look for two numbers that multiply to give the constant term $70$ and add up to give the coefficient of the $x$ term $17$ . We need to find two numbers $a$ and $b$ such that $a \times b = 70$ and $a + b = 17$ .
Find Factors of $70$ : Find the pair of factors of $70$ that add up to $17$ . By listing the factors of $70$ , we find that $7$ and $10$ are the numbers that satisfy both conditions: $7 \times 10 = 70$ and $7 + 10 = 17$ .
Write Factored Form: Write the expression as a product of two binomials using the numbers found in Step $3$ . $\newline$ The factored form of the expression is $(x + 7)(x + 10)$ .

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