Question

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A function f(x) has x-intercepts of -3 and -5. What is the
f(x) = x2 + 8x +​

Answer 1

Answer:

$f(x)=x^2+8x+15$

Step-by-step explanation:

If the function f(x) has x-intercepts of -3 and -5 then the roots are $x=-3$ and $x=-5$.

The factors of this function are $x+3$ and $x+5$.

We can write the function in factored form as:

$f(x)=(x+3)(x+5)$

We expand using the distributive property to get:

$f(x)=x^2+5x+3x+15$

$f(x)=x^2+8x+15$