Question

Factor completely: 2x2 + 9x + 4

(2x + 2)(x + 2)

(2x + 1)(x + 4)

(2x + 4)(x + 1)

(2x + 2)(x + 4)

Answer 1

@LearningIsAwesome

Answer 2

\((x+4) (2 x+1)\)

Answer 3

Factor 2x2+9x+4:
1. Multiply 2 by 4, which is 8.
2. Which two numbers add up to 9 and multiply to 8?
3. Answer: 8 and 1
4. Rewrite 9x as the sum of 8x and x:
2x2+8x+x+4

Factor out common terms in the first two terms, then in the last two terms
2x(x+4)+(x+4)

Factor out the common term x+4
(x+4)(2x+1) <--- answer