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QUES: if 3 is one zero of the polynomial f(x)=9x2^2-3(a-1)x+5 then the value of a is​

Answer 1

Answer:

Value of a is $\frac{50}{9}$

Step-by-step explanation:

Given:

• One Zero of the given polynomial f(x) is 3.
• f(x) = 9 × $2^{2}$ - 3(a-1)x + 5

To Find:

Value of a

Solution:

As we know that if any number is zeroes/roots of the given polynomial, then the value of polynomial f(x) will be 0 for that x = roots/zeroes

According to question,

f(x) = 0

that is, f(3) = 0

⇒ 9 × $2^{2}$ - 3(a-1)×3 + 5 = 0

⇒ 9 × 4 - 3(a-1) × 3 + 5 = 0

⇒ 36 - 9a + 9 + 5 = 0

⇒ 50 - 9a = 0

⇒ 50 = 9a

⇒ a = $\frac{50}{9}$