Question

find a cubic polynomial whose zeroes are -2,-3 and -1

Answer 1

Answer:

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Step-by-step explanation:

Hello Mate!

If zeros of p(x) polynomial are -2, -3 and -1.

This means that factors are x+2, x+3 and x+1.

So for that we will multiple all the factors for getting the polynomial.

p(x) = ( x + 1 )( x + 2 )( x + 3 )

p(x) = ( x² + 2x + x + 2 )( x + 3 )

p(x) = ( x² + 3x + 2 )( x + 3 )

p(x) = x³ + 3x² + 2x + 3x² + 9x + 6

p(x) = x³ + 6x² + 11x + 6.

Have great future ahead!