Given f (x) = 3x + 5 and g (x) = - 8x - 10

a. Find f (x) + g (x)

b. Find f (x) - g (x)

c. Find f (x) x g (x)

d. Find f (x) / g (x)

e. Determine which of the above are polynomials.

a: f (x) + g (x) = 3x+5 - 8x-10 = - 5x-5 = - 5 (x+1)

b: f (x) - g (x) = 3x+5 + 8x+10 = 11x + 15

c: f (x) x g (x) = (3x+5) (-8x-10) = - 24x^ (2) - 30x - 40x - 50 = - 24x^ (2) - 70x - 50

d. f (x) / g (x) = - 3/8 + 5 / (4 (-8x-10)

(3x+5) / (-8x-10):

numerator: 3x+5

denominator: (-8x-10)

quotient: - 3/8

remainder:5/4

e. Determine which of the above are polynomials.

f (x) / g (x)