Question

find the quadratic polynomial whose zeroes are -3 and 4​

Answer 1

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Answer 2

We can form the Quadratic Polynomial by two methods :-

Here Given two zeros are - 3 and 4

METHOD - 01

Hence,

Sum of the zeros is = -3 + 4 = 1

Product of the zeros is = -3 × 4 = -12

The Formula for finding quadratic polynomial is :-

x^2 - (sum of zeros)x + product of zeros

= x^2 - (1)x + (-12)

= x^2 - x - 12 (ANS)

METHOD - 02

If - 3 and 4 are zeros of p(x) then factor polynomials of p(x) is

(x + 3) and (x - 4) by Factor Theorem

We can multiply both the roots to get our result ,

(x + 3) (x - 4)

= x^2 - 4x + 3x - 12

= x^2 - x -12 (ANS)