How do you find $h(x)=f(x)+g(x)$ given $f(x)=-x-5$ and $g(x)=(x+3)^2$ ?

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Answer 1 · 2018-08-04T10:01:46

$h(x)=x^2+5x+4$

$h(x)=f(x)+g(x)$

$color(white)(h(x))=-x-5+x^2+6x+9$

$color(white)(h(x))=x^2+5x+4$

$color(white)(h(x))=(x+1)(x+4)larrcolor(blue)"in factored form"$

How do you find h(x)=f(x)+g(x)h(x)=f(x)+g(x) given f(x)=-x-5f(x)=-x-5 and g(x)=(x+3)^2g(x)=(x+3)^2?