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Factoring Polynomials I Score: 3/8 Answered: 3/8 Question Factor Completely: 5x^2+22x+8 Square

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Factoring Polynomials I Score: 3/8 Answered: 3/8 Question Factor completely: 5x^2+22x+8 square

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Mónica élite · Tutor durante 8 años
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Respuesta

To factor the polynomial completely, we need to find two binomials whose product gives us the original polynomial. Here are the steps:1. **Multiply the leading coefficient (5) by the constant term (8):** 2. **Find two numbers that multiply to 40 and add up to the middle coefficient (22):** The numbers are 20 and 2 because: 3. **Rewrite the middle term (22x) using the two numbers found:** 4. **Factor by grouping:** Group the terms in pairs and factor out the common factor from each pair: 5. **Factor out the common binomial factor \((x + 4)\):** So, the completely factored form of the polynomial is: