Match the pairs of values of f(x) and g(x) with the corresponding values of h(x) if h(x) = f(x) ÷ g(x).
f(x) = x2 − 9, and g(x) = x − 3
f(x) = x2 − 4x + 3, and g(x) = x − 3
f(x) = x2 + 4x − 5, and g(x) = x − 1
f(x) = x2 − 16, and g(x) = x − 4
h(x) = x + 5
arrowright
h(x) = x + 3
arrowright
h(x) = x + 4
arrowright
h(x) = x − 1
arrowright
reset next

1. x + 3

2. x - 1

3. x + 5

4. x + 4

Step-by-step explanation:

1. If f(x) = x² - 9 and g(x) = x - 3, then h(x) = f(x) ÷ g(x) = (x² - 9) ÷ (x - 3) = [(x + 3)(x - 3)] ÷ (x - 3) = x + 3

2. If f(x) = x² - 4x + 3 and g(x) = x - 3, then h(x) = f(x) ÷ g(x) = (x² - 4x + 3) ÷ (x - 3) = [(x - 1)(x - 3)] ÷ (x - 3) = x - 1

3. If f(x) = x² + 4x - 5 and g(x) = x - 1, then h(x) = f(x) ÷ g(x) = (x² + 4x - 5) ÷ (x - 1) = [(x - 1)(x + 5)] ÷ (x - 1) = x + 5

4. If f(x) = x² - 16 and g(x) = x - 4, then h(x) = f(x) ÷ g(x) = (x² - 16) ÷ (x - 4) = [(x - 4)(x + 4)] ÷ (x - 4) = x + 4. (Answer)

heudhduxhdnshenebdutbbt

step-by-step explanation:

hrhhdhdbbrurb ees

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.