Based on the polynomial remainder theorem, what is the value of the function when x=-5

f (x) = x^4+9x^3+17x^2-8x+50

Question

Mathematics

Ricky Galloway

22 July, 16:04

Based on the polynomial remainder theorem, what is the value of the function when x=-5

f (x) = x^4+9x^3+17x^2-8x+50

+5

Answers (1)

Know the Answer?

Mario Waters · Answer 1

Answer: 15

Step-by-step explanation:

Using synthetic division:

-5 | 1 9 17 - 8 50

| ↓ - 5 - 20 15 - 35

1 4 - 3 7 15 ← this is the remainder

Check:

f (x) = x⁴ + 9x³ + 17x² - 8x + 50

f (-5) = (-5) ⁴ + 9 (-5) ³ + 17 (-5) ² - 8 (-5) + 50

= 625 - 1125 + 425 + 40 + 50

= 15

Based on the polynomial remainder theorem, what is the value of the function when x=-5f (x) = x^4+9x^3+17x^2-8x+50

Based on the polynomial remainder theorem, what is the value of the function when x=-5

f (x) = x^4+9x^3+17x^2-8x+50