SOLUTION: What is the product of two consecutive numbers when the smaller number is y? Factorize 3x to the second power + 10x- 8

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Question 825892: What is the product of two consecutive numbers when the smaller number is y?
Factorize 3x to the second power + 10x- 8
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

two consecutive numbers differ by 1
when the smaller number is y, next one is y%2B1, and their product is
y%28y%2B1%29=y%5E2%2By

Factorize 3x%5E2+%2B+10x-+8:
3x%5E2+%2B+10x-+8..........write 10x as -12x%2B2x
3x%5E2+-12x%2B2x-+8..........group
%283x%5E2+-12x%29%2B%282x-+8%29..........factor
3x%28x+-4%29%2B2%28x-+4%29..........
%283x-2%29%28x%2B4%29..............Factorized