Factor 2x²+25x+50. Rewrite the trinomial with the x-term expanded, using the two factors.

Answer 1

2x^2 + 25x + 50

= (2x +5)(x+10)

= 2x^2 +20x + 5x + 50

set 2x^2 +25x + 50 = 0 use the quadratic formula

x= -25/4 + or - (1/4)sqr(625-400) = -25/4 + or - (1/4)sqr225)

= -25/4 + or - 15/4

= -40/4 or -10/4

= -10 or - 2.5

x+10 = 0

x+2.5 = 0

(x+10)(x+2.5) multiply last factor by 2

(x+10)(2x+5)