Question

help please

Factor 2x^2 + 7x + 3.









A.

(2x + 1)(x + 3)








B.

(2x + 3)(x + 1)








C.

(2x + 5)(x + 1)








D.

The polynomial is prime

Answer 1

2x² + 7x + 3
2x² + 7x + 3
Multiply the blue 2 by the red 3, getting 6.
Think of two positive integers which have product 6 and which have SUM (since the purple sign is +) equal to the green 7. Such positive integers are 1 and 6 because
1×6 = 6 and 1+6 = 7
Rewrite the green 7 using 1 and 6
2x² + (1 + 6)x+3
Remove the parentheses using the distributive principle.
2x² + 1x + 6x + 3
Factor x out of the first two terms and factor 3 out of the last two terms:
x(2x + 1) + 3(2x + 1)
Factor the (2x + 1) out of both terms
(2x + 1)(x + 3)

Answer 2

^ What she said