Question

if 3 is one of the zero of the quadratic polynomial (k-1) X square + 3 X + K is 2 then the value of k is what?

Answer 1

Question:

◉ If 3 is one of the zeroes of the quadratic polynomial (k - 1)x² + 3x + k, Then the value of k is?

Answer:

◉ Value of k = 0

Explanation:

Given:

☛ Quadratic polynomial p(x) = (k-1)x² + 3x + k

☛ One of the zeroes of p(x) = 3

To Find:

☛ Value of k

Solution:

We know that a zero of a quadratic polynomial is any value that satisfies the equation ( evaluates it to zero )

So,

If 3 is zero of polynomial p(x)

∴ p(3) = 0

➜ (k - 1)(3)² + 3(3) + k = 0

➜ 9(k - 1) + 9 + k = 0

➜ 9k - 9 + 9 + k = 0

➜ 10k = 0

➜ k = 0

Hence, Value of k is 0.