Question

If c(x) = 4x – 2 and d(x) = x2 + 5x, what is (cd)(x)?

Answer 1

Answer: cd(x) = 4x³ — 2x² + 8x — 4

Step-by-step explanation:

c(x) = 4x - 2

d(x) = x² + 2

Therefore, cd(x) = c(x) × d(x)

cd(x) = (4x - 2)(x² + 2)

= (4x × x²) + (4x × 2) + (-2 × x²) + (-2 × 2)

= 4x³ + 8x -2x² - 4

cd(x) = 4x³ — 2x² + 8x — 4

Hope this helps?