Question

Find remainder when f(x)=5x^3+7x+5 is divided by x+2

Answer 1

Explanation:

hello :

here his an solution

Answer 2

- 49

Explanation:

`f(x) = 5 {x}^(3) + 7x + 5 \\ let \: x + 2 = 0 \implies \: x = - 2 \\ \therefore \: f( - 2) = 5 ({ - 2)}^(3) + 7( - 2) + 5 \\ = 5( - 8) - 14 + 5 \\ = - 40 - 14 + 5 \\ = - 54 + 5 \\ \red{ \bold{\therefore \: f( - 2) = - 49}} \\`

Thus, remainder = - 49