Question

F(x) = -2x^5 + x^4 + x^2 -2; find f(-3) and f(4)

Answer 1

f(-3) = 574

f(4) = -1778

Explanation:

`f(x) = -2x^5 + x^4 + x^2 -2`

`f(-3) = -2(-3)^5 + (-3)^4 + (-3)^2 -2`

`\implies f(-3) = -2(-243) + 81 + 9 -2`

`\implies f(-3) = 486 + 81 + 9 -2`

`\implies f(-3) = 574`

`f(4) = -2(4)^5 + (4)^4 + (4)^2 -2`

`\implies f(4) = -2(1024) + 256 + 16 -2`

`\implies f(4) = -2048 + 256 + 16 -2`

`\implies f(4) =-1778`