Question

If two zeroes of the polynomial x3+3x2-5x-15 are root 5and -root 5 then find its third zero

Answer 1

hey...

here is ur solution

hope it helps u ☺

#APS☺

Answer 2

The third zero of the polynomial is -3.

Given,

Two zeroes of the polynomial x³+3x²-5x-15 are √5 and -√5.

To Find,

The third zero of the polynomial.

Solution,

The given cubic polynomial is

x³+3x²-5x-15

The given zeroes of the polynomial are √5 and -√5.

Let us assume that the third zero of the polynomial is p.

Now, the sum of zeroes of a cubic polynomial is

Sum of zeroes = -b/a

where b is the coefficient of x² and a is the coefficient of x³.

√5-√5+p = -(3)/1

p = -3.

Hence, the third zero of the polynomial is -3.

#SPJ3