If x-1 is one factor of the polynomial 2x Square - x -1 . Then find the others
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Answer :
- 2x + 1
Explanation :
Given polynomial,
⇒ 2x² - x - 1
Where one factor given is (x - 1)
Find the other.
Splitting the middle term of,
⇒ 2x² - x - 1
⇒ 2x² - 2x + x - 1
⇒ 2x(x - 1) + 1(x - 1)
⇒ (x - 1)(2x + 1) [ Taking common]
Here, one factor is given i.e., (x - 1). Hence, the other factor would be (2x + 1)
Required answer : (2x + 1)
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