Question

2. Use the Factor Theorem to determine whether g(x) is factor of fx) in each of
following cases
(1)f (x)=5x ^3+x^2+ 5x-1
g(x)=x + 1

(2)f(x)= X^3+3x^2+ 3x + 1
g(x) = x+1

(3)f(x) = x^3-4x^2+x+6
g(x) - 1-2

(4)f (x)=3x^3 + x² - 20x + 12
g(x) = 3x-2

(5)f (x) =4x^3+ 20x^2 +33x + 18. g(x) = 2x + 3​

Answer 1

Answer:

• f (x) = 5x ³ + x² + 5x - 1 ,,,g(x) = 0 , x = -1 ......-125 + 1 - 5 - 1 = -130
• g(x) = 0 ,,x = -1 ,,,,g(x) = -1 + 3 - 3 +1 = 0
• g(x) = 0 ,,,,, x = 2/3 ,,,,