Question

if alpha and beta are the zeroes of ploynomial x square- 6x+k find the value of k

Answer 1

Answer:

The given quadratic polynomial is:

x^2 - 6k + k.

We know that;

If we have any quadratic polynomial as;

ax^2 + bx + c.

If alpha and beta are the zeros of the polynomial,then;

alpha+beta = -b/a

alpha•bata = c/a

Clearly, in the given polynomial,

a=1

b= -6

c= k

Thus,

alpha+beta = -(-6)/1 = 6

alpha•beta = k/1 = k.

clearly , we have,

k=alpha•beta

Answer 2

$\huge\mathfrak\blue{Answer:}$

Given:

Alpha and beta are the zeroes of ploynomial x ^2 - 6x + k

To Find:

The value of k.

Solution:

The given polynomial is x ^2 - 6x + k.

Comparing with ax^2 + bx + c , we get

a = 1

b = 6

c = k

α + β = -b/a = -6/1 = -6

αβ = c/a = k/1 = k

Hence, we have k = αβ.