What is the factorization of the quadratic expression 2x² + 5x + 2?
- (x + 2)(2x + 1)
- (x + 2)(x + 1)
- (2(x + 2)(2x + 1)
- None of these
Explanation
To factorize the quadratic expression 2x² + 5x + 2, we need to find two numbers whose product is 2 × 2 = 4 and whose sum is 5. These numbers are 4 and 1.
2x² + 5x + 2 = 2x² + 4x + x + 2
= 2x(x + 2) + 1(x + 2)
= (x + 2)(2x + 1)
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