Question

if 2 is a zero of polynomial f polynomial x is equal to x square - 3 (a - 1) x minus 1 then the value of a is​

Answer 1

Step-by-step explanation:

A polynomial is given f(x) = ax2 - 3(a - 1)x - 1

Zeroes of a polynomial is 2

Calculations:

According to the question, we have

f(x) = ax2 - 3(a - 1)x - 1

2 is zero of polynomial

⇒ f(2) = a(2)2 - 3(a - 1)2 - 1

⇒ 4a - 6(a - 1) - 1 = 0

⇒ 4a - 6a + 6 -1 = 0

⇒ 5 - 2a = 0

⇒ -2a = -5

⇒ 2a = 5

⇒ a = 5/2

∴ If 2 is zero of a polynomial, then the value of a = 5/2.

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