Answer:
f(x) = x² + 8x + 15
Explanation:
f(x) = (x + 3)(x + 5)
write this in a difrent form by expanding the double brackets. Solve this by using the FOIL method.
FOIL
A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.
(x + 3)(x + 5)
x*x + {5*x + 3*x} + (3 * 5)
x² + {5x + 3x} + 15
And now we have found the answer
f(x) = x² + 8x + 15