Question

guys math polynomial question

Answer 1

Your answer:

Given:-

• Polynomial is 4x²-100

To Find:-

• Zeroes of the polynomial

To Verify:-

• Relationship between the zeroes and coefficients.

Solution:-

Finding zeroes of 4x²-100

$\tt \: 4 {x}^{2} - 100 = 0 \\ \\ \tt \rightarrow \: \: 4( {x}^{2} - 25) = 0 \\ \\ \tt \rightarrow {x}^{2} - 25 = 0 \\ \\ \tt \rightarrow {x}^{2} = 25 \\ \\ \tt \rightarrow \: x \: = 5 \: and \: x = - 5$

So we have zeroes equal to 5 and-5.

Verify the relationship.

Sum of zeros = -b/a

So, 5-5=0

and

-b/a =0/a = 0

verified.

Product of zeroes.

(5)(-5) =-25

and

c/a = -100/4 =-25

verified