Question

A quadratic polynomial whose zeroes are -3 and 4 is :

Answer 1

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Answer 2

zeroes of the polynomial are -3 and 4

alpha = -3

beta = 4

sum of zeroes

alpha + beta = -3+4 = 1

sum of zeroes = 1

product of zeroes

alpha × beta = -3 × 4 = -12

product of zeroes = -12

quadratic polynomial is

ax^2 + bx + c = x^2 - (alpha+beta)x + (alpha×beta)

ax^2 + bx + c = x^2 - (3)x + (-12)

= x^2 -3x -12

quadratic polynomial is

= x^2 -3x -12