Question

if x^3+x^2+x+a is divisible by x-1 find the value of a. Question of chapter polynomial class 9 brainliest will be made who gives best answer

Answer 1

Answer:

-3

Step-by-step explanation:

if x-1 is a factor of polynomial p(x) then then the remainder is equal to 0

x-1=0 {Calculating zero of equation}

x=1

p(1) = 1³ + 1² + 1 + a

p(1) = 3 + a

We know that p(1) = 0 [Remainder Theorem]

Therefore, 0 = 3 + a

                -3 = a