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factor 20x^2+25x-12x-15 by grouping 1. group terms with common factors 2. factor the gcf from each group. 3. write the polynomial as a

Question

Factor 20x^2+25x-12x-15 by grouping 1. Group terms with common factors 2. Factor the GCF from each group. 3. Write the polynomial as a product of binomials (20x^2-12x)+(25x-15) 4x(5x-3)+5(5x-3) (5x-3)(square x+square )

Solution

Verificación de expertos
4 (132 Votos)
Manuel Mestre · Tutor por 5 anos

Resposta

To factor the polynomial by grouping, follow these steps:1. **Group terms with common factors:** 2. **Factor the GCF from each group:** - From the first group , the GCF is : - From the second group , the GCF is : 3. **Write the polynomial as a product of binomials:** Now that we have factored out the GCF from each group, we can see that both groups contain the common binomial factor \((5x - 3)\). Therefore, we can write: So, the factored form of the polynomial is: