Math, asked by dubeysoumya4867, 11 months ago

find the polynomial who zeroes are 3 -2 and -3

Answers

Answered by satyam2060
2

Answer:

since it has three zeroes so it is a cubic polynomial,

now sum of zeroes= -2

product of zeroes taken two at a time

=ab+bc+ca

= 3×(-2)+(-2)×(-3)+(-3)×3

= -6+6-9

= -9

product of zeroes= 3×(-2)×(-3)

= 18

now for a cubic polynomial standard form is

f(x)= k{ x^3-(sum of zeroes)x+(product of zeroes taken two at a time)x^2-(product of zeroes)}

f(x)= x^3-(-2)x^2+(-9)x-(18)

f(x)= x^3+2x^2-9x-18

hope it helps you

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