Question

(27) Find a quadratic polynomial the given number as the
sum and product of its zeros are - 4 and 3​

Answer 1

Answer:

x²+4x+3

let alpha and beta be the zeroes

x²-(sum of alpha and beta)x + ( product of alpha and beta)

x²-(-4)x + (3)

x²+ 4x + 3

Answer 2

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Find a quadratic polynomial the given number as the sum and product of its zeros are - 4 and 3

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Let the required polynomial be ax²+bx+c

Given that it's zeros /roots are -4 and 3

Sum of zeros = -4+3

= -1/1 = -b/a -----1

Product of zeros = -4×3

=-12/1 = c/a. ------2

By equalating above equation

A = 1 , B = 1 , C = -12

But polynomial is ax²+bx+c

So, putting value of a , b and c we will get

polynomial = x²+x-12

So , required polynomial is x²+x-12