Question

x³+2x²+5x+10 with solution

Answer 1

(x³+2x²) +(5x+ 10)
x²(x+2)+5(x+2)
(x²+5) +( x+2)

Answer 2

Answer: -2, i√5, -i√5

Step-by-step explanation:

x³+2x²+5x+10 = (x³+2x²) + (5x+10)

=x²(x+2) + 5 (x+2)

=(x+2)(x²+5)

So x³+2x²+5x+10=0,

⇒ (x+2)(x²+5) = 0

⇒(x+2) = 0 or x²+5=0

⇒ x = -2 or x² = -5

⇒x= -2 or i√5 or -i√5