Question

Find a quadratic polynomial, whose zeroes are
-4 and 1, respectively.​

Answer 1

Answer:

x^2+3x-4

Explanation:

α=-4,β=1

Sum=α+β

=-4+1

=-3

Product=(-4)(1)

=-4

x^2-Sum x+product

x^2-(-3)x+-4

x^2+3x-4

Answer 2

Explanation:

x^2 - sum of zeroes *x + product of zeroes

Sum of zeroes = - 4+1 = - 3

Product of zeroes = (-4) (1) = - 4

x^2 - (-3)x + (-4)

= x^2 + 3x - 4