Math, asked by economic4928, 1 year ago

How do you find a polynomial of degree 3 that has zeros of -3, 0, 1?

Answers

Answered by harumamiurafan1415
1
sum of zeroes = a + b +c

= (-3)+ 0+ 1=-2

product of zeroes taken as two at a time = ab + bc + ca

=(-3)0 + (-3)1+ 1×0=-3

product of zeroes = ABC

= (-3)1×0 =0

polynomial in 3 degree is

x ^3 - (sum of zeroes)x^2 + (product of zeroes taken 2 at a time)x - product of zeroes

therefore polynomial is

x^3 + 2x^2 -3x



Hope will help
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