Question

The sum of the two zeroes of a polynomial degree 4 is -1 and their product is -2. If other zeroes are root3 and -root3 find the polynomial

Answer 1

Answer:

Step-by-step explanation:

@+B= -1

@×B= -2

x=√3

x-√3=0

x=-√3

x+√3=0

=(x-√3)(x+√3)

=x^2-(√3)^2

=x^2-3

using x^2-(@+B)x+(@×B)

=x^2-(-1)x+(-2)

=x^2+x-2

now, x^2-3×(x^2+x-2)

=x^4+x^3-5x^2-3x+6

required polynomial is x^4+x^3-5x^2-3x+6