Problemas
Factoring Polynomials I Score: 3/8 Answered: 3/8 Question Factor completely: 5x^2+22x+8 square
Roztwór
Mónica
élite · Tutor durante 8 años
4.5
(153 Votos)
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: