Question

find the value of a for which(x-a) is a factor of the polynomial f(x)=x^5- (a^2*x^3)+2x+a-3

Answer 1

Answer:

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Answer 2

ANSWER :–

a = 1

EXPLANATION :–

GIVEN :–

a polynomial f(x) = x⁵ - a²x³ + 2x + a - 3 have a factor (x-a).

TO FIND :–

value of "a".

SOLUTION :–

● According to the question polynomial have one factor (x-a) , then x = a will satisfy the polynomial.

● Let's put x = a in f(x) –

=》 f(a) = 0

=》 a⁵ - a²(a³) + 2(a) + a - 3 = 0

=》 a⁵ - a⁵ + 3 a - 3 = 0

=》 3 a - 3 = 0

=》 3 a = 3

=》 a = 1

EXTRA INFORMATION :–

• Every factor 's zero of polynomial will satisfy the polynomial.