Question

form a quadratic polynomial whose zeros are
1) -5 and 4
2) 2 and -6

Answer 1

Hi friend, Here's the required answer:-

1) We know that,

Sum of zeroes = -b/a
-5+4= -b/a
-1= -b/a

Product of zeroes = c/a
-5×4= c/a
-20 = c/a

So ,. a= 1, b= 1 and c= -20.

So the quadratic polynomial is x^2+ x -20

2) Sum of zeroes = -b/a
-6+2= -b/a
-4= -b/a

Product of zeroes= c/a
-6×2= c/a
-12= c/a

So, a= 1, b= 4 & c= -12

So the quadratic polynomial is x^2+4x-12.

Hope this helps you...

Answer 2

Hey there!

1)

Sum of the zeros = -5+4 = -1
Product of the zeros = -5(4) = -20

Quadratic polynomial = x²-(sum of zeros)x+Product of the zeros

= x²+x-20

2)
Sum of the zeros = 2+(-6) = -4
Product of the zeros = 2(-6) = -12

Quadratic polynomial = x²-(sum of the zeros)x+product of the zeros.

= x²+4x-12

:)