Question

Solve the equation XA - 2x3 – 19x2 + 8x + 60 = 0,
given that two of the roots are a and - a, where
a> 0.

Answer 1

Step-by-step explanation:

x

4

+3x

3

−20x

2

−6x+36

Two zeroes are

2

,−

2

∴(x−

2

)(x+

2

) are the factors of the polynomial

⇒x

2

−2 is a factor

∴ Quotient =x

2

+3x−18

To find other two factors

x

2

+3x−18=0⇒x

2

+6x−3x−18

⇒x(x+6)−3(x−6)

⇒(x+3)(x+6)=0

⇒x=3&−6