Question

find quadratic polynomial if 3 and - 7 are zeros of polynomial​

Answer 1

x²-(sum of zeroes)x+product of zeroes

x²-(3-7)x+-3×7

x²+4x-21

Answer 2

Given :  3, -7 are the zeros of a polynomial

To Find : polynomial

Solution:

P(x) -polynomial having zeroes a and b can be represented by

P(x) = k(x - a)(x - b)  where k is non zero real number

3, 7 are the zeros of a polynomial

a = 3

b =-7

p(x) = k(x - 3)(x - (-7))

p(x) = k(x - 3)(x + 7)

=> p(x) = k( x² +4x - 21)

=> p(x) = kx²  + 4kx - 21k

p(x) = k( x² +4x - 21) is the required polynomial

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