MATH SOLVE

3 months ago

Q:
# one factor of f(c) = 5x3 + 5x2 - 170x + 280 is (x + 7). What are all the roots of the function? Use the remainder theorem

Accepted Solution

A:

Answer:So the roots of the polynomial are -7 , 4 , 2Step-by-step explanation:Given the polynomial in the question5x³ + 5x² - 170x + 280 One of the factor of this polynomial is (x + 7)By using remainder theorem 5x²-30x+40 ----------------------------------- x+7 | 5x³ + 5x² - 170x + 280 5x³ + 35x² ---------------------------- -30x² -170x + 280 -30x² -210x ------------------ 40x + 280 40x + 280 ---------------- 0So the polynomial we have is 5x²- 30x + 40divide by 5x² - 6x + 8(x-4)(x-2) So the roots of the polynomial are -7 , 4 , 2