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x^(2)+4x-21

$x^{2}+4 x-21$

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Factor polynomials

Full solution

Q.

x^{2}+4 x-21

Identify Coefficients: Identify the coefficients of the quadratic equation; they are $1$ (for $x^2$ ), $4$ (for $x$ ), and $-21$ (constant term).
Find Multiplying Numbers: Look for two numbers that multiply to $-21$ (the constant term) and add up to $4$ (the coefficient of the $x$ term). $\newline$ Calculation: $7 \times -3 = -21$ and $7 + (-3) = 4$ .
Write Factored Form: Write the factored form using the numbers found. $\newline$ Calculation: The factored form is $(x + 7)(x - 3)$ .

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