x³+2x²+5x+10 with solution
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(x³+2x²) +(5x+ 10)
x²(x+2)+5(x+2)
(x²+5) +( x+2)
x²(x+2)+5(x+2)
(x²+5) +( x+2)
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Answered by
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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
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