Final answer to the problem
$f\left(x\right)=x^2+x-12$
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Apply the formula: $\left(x+a\right)\left(x+b\right)$$=x^2+\left(a+b\right)x+ab$, where $a=-3$, $b=4$, $x+b=x+4$ and $x+a=x-3$
$f\left(x\right)=x^2+\left(-3+4\right)x-3\cdot 4$
Learn how to solve expressions algébriques problems step by step online.
$f\left(x\right)=x^2+\left(-3+4\right)x-3\cdot 4$
Learn how to solve expressions algébriques problems step by step online. f(x)=(x-3)(x+4). Apply the formula: \left(x+a\right)\left(x+b\right)=x^2+\left(a+b\right)x+ab, where a=-3, b=4, x+b=x+4 and x+a=x-3. Apply the formula: a+b=a+b, where a=4, b=-3 and a+b=-3+4. Apply the formula: ab=ab, where ab=-3\cdot 4, a=-3 and b=4. Apply the formula: 1x=x.
Final answer to the problem
$f\left(x\right)=x^2+x-12$
