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