Question

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

Answer 1

Answer:

We know that the sum of the zeroes of the polynomial is -b/a.

Also product of the zeroes of the polynomial is c/a.

So,

   Sum of zeroes,  (-3)+4=1

So -b/a=1

so b=-1 and a=1

  Product of zeroes, (-3)*(4)=(-12)

So c/a=(-12)

so c=(-12) and a=1

    So the quadratic polynomial is,

              x^2-x-12

Answer 2

$x ^{2} - {\alpha + \beta} x + \alpha \beta$

$x {}^{2} - {( - 3) + 4}x + - 3 \times 4 \\ x {}^{2} -1x - 12$