Question

Find the value for which (x-a) is a factor of the polynomial,if f(x)=x^5-a^2x^3+2x+a-3​

Answer 1

f(x) = x^5 - a^2x^3 + 2x + a - 3

Since, (x - a) is a factor of f(x), f(a) = 0

f(a) = a^5 - a^2a^3 + 2a + a - 3

0 = a^5 - a^5 + 3a - 3

0 = 3a - 3

3a = 3

a = 1

Therefore, value of a is 1.

Hope it help!

Answer 2

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