Factors of 10y² - 3y - 1 are ______?
- (2y -1)(5y +1)
- (2y +1)(5y -1)
- (2y -1)(5y -1)
- None of these
Explanation
To factorize 10y² - 3y - 1:
Look for two numbers whose product is 10 × (-1) = -10 and whose sum is -3.
These numbers are -5 and 2.
Rewrite the middle term:
10y² - 5y + 2y - 1
Now, factor by grouping:
(10y² - 5y) + (2y - 1)
5y(2y - 1) + 1(2y - 1)
Common factor (2y - 1):
(2y - 1)(5y + 1)
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