Question

14. Divide y³ - 5y² - 2y +24 by y- 4 and check your answer.​

Answer 1

Answer:

LOOK CAREFULLY

Step-by-step explanation:

USING REMAINDER THEOREM :

f(x)= y³ - 5y² - 2y +24

g(x) = (y- 4)

Hence,

y - 4 = 0

or, y = 4

Therefore substituting the value of y in f(x)

f(x) = y³ - 5y² - 2y +24

f(x) = (4)³ - 5(4)² -2(4) +24

f(x) = 64 - 5(16) - 8 + 24

f(x) = 64 - 80 - 8 +24

f(x) = 64 + 24 - (80 +8)

f(x) = 88 - 88

f(x) = 0

The answer is zero  . Hence we conclude that g(x) is a factor of f(x)