Question

If the sum and differences of zeroes of quadratic polynomial are -3and -10,respectively.then, find the difference of the square of zeroes.

Answer 1

if you have any doubts, you can ping me

Answer 2

The difference of the square of zeroes is 30

Given : The sum and differences of zeroes of quadratic polynomial are - 3 and - 10 respectively

To find : The difference of the square of zeroes

Solution :

Step 1 of 2 :

Form the equations

Let the zeroes are α and β

Since it is given that sum and differences of zeroes of quadratic polynomial are - 3 and - 10 respectively

So by the given condition

α + β = - 3

α - β = - 10

Step 2 of 2 :

Find difference of the square of zeroes

Hence the difference of the square of zeroes

= α² - β²

= ( α + β ) ( α - β )

= ( - 3 ) × ( - 10 )

= 30

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If p(x) = 2x2 + 4x + 6 is a quadratic polynomial then what is the value of sum of zeroes?

https://brainly.in/question/31024345

2. write a quadratic polynomial sum of whose zeroes is 2 and product is -8

https://brainly.in/question/25501039