Question

A quadratic polynomial whose zeroes are -3 and 4 is ..................​

Answer 1

Answer:

Solution. ⇒ ⇒ Given zeros are α=2 α = 2 and β=−6 β = − 6 . ⇒ ⇒ Sum of zeros =α+β=2+(−6)=−4 = α + β = 2 + ( − 6 ) = − 4

Answer 2

Solution -

The required Zeroes are -3 and 4 .

Sum of Zeroes -

=> -3 + 4

=> 1

Product Of Zeroes -

=> ( -3 )( 4 )

=> -12

Now , a quadratic polynomial can be written as -

x² - ( Sum of Zeroes ) x + ( Product Of Zeroes )

=> x² - ( 1 ) x - 12

=> x² - x - 12

Verification -

x² + x - 12

=> x² - 4x + 3x + 12

=> x ( x - 4 ) + 3 ( x - 4 )

=> ( x + 3 )( x - 4 )

Zeroes -

=> -3, 4

Hence Verified -

Additional Information -

In a Polynomial -

Sum of Zeroes = ( -b / a )

Product Of Zeroes = ( c / a )