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
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: