MATH SOLVE

4 months ago

Q:
# Factor 2x2 + 7x + 3. (2x + 2)(x + 1) (2x + 3)(x + 1) (2x + 1)(x + 3)

Accepted Solution

A:

Answer:(2x + 1)(x + 3)Step-by-step explanation:It is probably easier to try the answer choices than to try to factor the expression yourself.(2x + 2)(x + 1) = 2x² +4x +2(2x + 3)(x + 1) = 2x² +5x +3(2x + 1)(x + 3) = 2x² +7x +3 . . . . . correct choice_____Constructed solutionIf you want to factor this yourself, you can look for factors of "ac" that add to give "b". That is, you want factors of 2·3 = 6 that add up to give 7. You don't have to look very far.... 6 = 1·6 = 2·3 . . . . . . the first factor pair adds to give 7Now, rewrite the x term using the sum of these numbers.... 2x² +(1 +6)x +3... 2x +x +6x +3 . . . . eliminate parentheses... (2x +x) +(6x +3) . . . . group pairs of terms... x(2x +1) +3(2x +1) . . . . factor each pair... (x +3)(2x +1) . . . . . . matches the last selection