Question

If f(x)=x+12 and g(x)=x−5, find f(x)⋅g(x).

x2+17x−60

x2+7x−60

x2+7x−7

x2−7x+60

Answer 1

x² + 7x - 60

Explanation:

Multiply (x + 12) and (x - 5)

Use FOIL method:

FIRST terms (x)(x) = x²

OUTER terms (x)(-5) = -5x

INNER terms (12)(x) = 12x

LAST terms (12)(-5) = -60

Then add the outer and inner terms: (-5x) + (12x) = 7x

Bring down or copy the product of the first terms, the sum of outer and inner terms and the product of last terms.

x² + 7x - 60