To factor the quadratic expression 3x² + 7.7x + 4.14, we need to find two numbers that multiply to 3⋅4.14=12.42 (the product of the coefficient of x² and the constant term) and add up to 7.7 (the coefficient of x).
Let's find the factors of 12.42 that add up to 7.7.
The factors of 12.42 are approximately 2.3 and 5.4.
Therefore, we can factor 3x²+7.7x+4.14 as:(3x+2.3)(x+1.8)
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