Question
Talia grouped the terms and factored out the GCF of the groups of the polynomial 15x^2-3x-20x+4 Her work is shown below (15x^2-3x)+(-20x+4) 2 3x(5x-1)+4(-5x+1) Talia noticed that she does not have a common factor What should she do? Talia needs to leave the polynomial as is because it is prime and cannot be factored Talia needs to factor out a 3x from the first group and a 4x from the second group. Talia needs to factor out a negative from one of the groups so the binomials will be the same. Talia needs to apply the distributive property to get the expression (3x+4)(5x-1)
Solution
4.3
(289 Votos)
Lucas
Avançado · Tutor por 1 anos
Resposta
To solve this problem, we need to factor the polynomial
by grouping the terms and factoring out the greatest common factor (GCF) of each group.Step 1: Group the terms.
Step 2: Factor out the GCF from each group.
Step 3: Notice that the binomials
are the same in both groups. To make them the same, we need to factor out a negative from one of the groups.Talia needs to apply the distributive property to get the expression
.Therefore, the correct answer is:Talia needs to apply the distributive property to get the expression
.