Factor completely. 7x^(2)+28 x-35=

Identify quadratic trinomial: Identify the quadratic trinomial and look for common factors. The given expression is 7x^2 + 28x - 35. We can see that 7 is a common factor of all three terms.Factor out GCF: Factor out the greatest common factor (GCF) from the expression. The GCF of 7x^2, 28x, and -35 is 7. So we factor out 7 from the expression. 7(x^2 + 4x - 5)Factor quadratic expression: Factor the quadratic expression inside the parentheses. We need to find two numbers that multiply to -5 (the constant term) and add up to 4 (the coefficient of the x term). The numbers that satisfy these conditions are 5 and -1.Write factored form: Write the factored form using the numbers found in Step 3. We can now express x^2 + 4x - 5 as (x + 5)(x - 1).Combine GCF with factored form: Combine the GCF factored out in Step 2 with the factored form from Step 4. The completely factored form of the expression is 7(x + 5)(x - 1).

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Algebra 2

Factor quadratics

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Q. Factor completely.

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7x^{2}+28x-35=

Identify quadratic trinomial: Identify the quadratic trinomial and look for common factors. $\newline$ The given expression is $7x^2 + 28x - 35$ . We can see that $7$ is a common factor of all three terms.
Factor out GCF: Factor out the greatest common factor (GCF) from the expression. $\newline$ The GCF of $7x^2$ , $28x$ , and $-35$ is $7$ . So we factor out $7$ from the expression. $\newline$ $7(x^2 + 4x - 5)$
Factor quadratic expression: Factor the quadratic expression inside the parentheses. $\newline$ We need to find two numbers that multiply to $-5$ (the constant term) and add up to $4$ (the coefficient of the $x$ term). $\newline$ The numbers that satisfy these conditions are $5$ and $-1$ .
Write factored form: Write the factored form using the numbers found in Step $3$ . $\newline$ We can now express $x^2 + 4x - 5$ as $(x + 5)(x - 1)$ .
Combine GCF with factored form: Combine the GCF factored out in Step $2$ with the factored form from Step $4$ . $\newline$ The completely factored form of the expression is $7(x + 5)(x - 1)$ .