Question

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

Answer 1

Answer:

x2+1x-12

Step-by-step explanation:

p(x)= x2- ( sum of zeroes )x + ( product of zeroes ).

= x2- ( -3+4)x +( -3×4)

= x2- (-1)x + (-12)

= x2+1x-12

Hope it will help you.........

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 )