Rewrite the trinomial with the x-term expanded, using the two factors

Question

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

answer: 2x^2 _____ +50

Answer 1

2x² + 25x + 50 Using the "ac" method a x c = 2 x 50 = 100. Factors of 100 adding to 25 are 20 and 5.

Therefore can re-write as 2x² + 20x + 5x + 50 (this is the required answer)

Could continue to factor by grouping:

Factoring 1st two and 2nd two terms: 2x(x + 10) + 5(x + 10)

(2x + 5)(x + 10)

Answer 2

To rewrite the middle term, you multiply AC (2)(50)=100 Then you are looking for factors of 100 that add to the middle term, 25x. This would be 20x and 5x.

2x²+25x+50

2x²+20x+5x+50