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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

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

Verificación de expertos
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 .