What is the factorization of 2x² - 7x + 3?
- (2x - 1)(x - 3)
- (2x + 1)(x - 1)
- (3x - 1)(x - 2)
- None of these
Explanation
Let's factorize 2x^2 - 7x + 3. We need to find two numbers that multiply to 2 × 3 = 6 and add to -7. These numbers are -6 and -1.
So, 2x^2 - 7x + 3 = 2x^2 - 6x - x + 3
= 2x(x - 3) - 1(x - 3)
= (2x - 1)(x - 3)
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