Question

What is a polynomial with a single root at x = -8 and a double root at x = -2?

Answer 1

Sent a picture of the solution to the problem (s).

Answer 2

The polynomial equation will be x³ +12x² +36x+32 =0

What are the roots of a polynomial Equation ?

The roots of a polynomial equation is the value at which it will satisfy the quadratic equation , i.e. function (x) = 0 at the root .

It is given that x = -8 is a single root and

x = -2 is double root

x+8 = 0

(x+2 )(x+2)=0   (double root)

The polynomial equation will be

(x+8)(x+2 )(x+2 )=0

(x+8)( x² +4+4x) = 0

x³ +4x+4x²+8x²+32+32x = 0

x³ +12x² +36x+32 =0

Therefore the polynomial equation will be x³ +12x² +36x+32 =0

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