Questions: Factor completely. -5x^2+3x+14

Transcript text: Factor completely. \[ -5 x^{2}+3 x+14 \]

Solution

Solution Steps

Step 1: Construct the Polynomial

Given the coefficients [-5, 3, 14] and the degree 2, the polynomial is constructed as: $$ - 5 x^{2} + 3 x + 14 $$

Step 2: Factor the Polynomial

To factor the polynomial, we look for factors that can divide the polynomial completely. The factored form of the polynomial is: $$ - \left(x - 2\right) \left(5 x + 7\right) $$

Final Answer:

The factored form of the given polynomial is: $$ - \left(x - 2\right) \left(5 x + 7\right) $$, rounded to 2 decimal places.

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