Question

Find the value of a if x+a is a factor of the polynomial x3+ax2-2x+a+4

Answer 1

Step-by-step explanation:

You have to basically equate dividend to zero and then you will get 3a-4 and then do 3a-4=0 and the answer will be -3/4.

Hope it Helps!!

Answer 2

Answer:

In the polynomial x³+ax²-2x+a+4 the value of a = -4/3.

Step-by-step explanation:

Given x+a is a factor of the polynomial x³+ax²-2x+a+4

According to Factor Theorem, if x+a is a factor, then f(-a) = 0.

let f(x) =  x³+ax²-2x+a+4

substituting a in place of x.

f(-a) = (-a)³ + a(-a)² - 2(-a) + a +4 = 0

-a³ + a³ + 2a + a + 4 =0

3a + 4 = 0

3a = -4

a = -4/3

here x+a is a factor of the polynomial x³+ax²-2x+a+4 then a = -4/3.

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