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)

To solve this problem, we need to factor the polynomial $15x^{2}-3x-20x+4$ by grouping the terms and factoring out the greatest common factor (GCF) of each group.<br /><br />Step 1: Group the terms.<br />$(15x^{2}-3x)+(-20x+4)$<br /><br />Step 2: Factor out the GCF from each group.<br />$3x(5x-1)-4(5x-1)$<br /><br />Step 3: Notice that the binomials $(5x-1)$ are the same in both groups. To make them the same, we need to factor out a negative from one of the groups.<br /><br />Talia needs to apply the distributive property to get the expression $(3x+4)(5x-1)$.<br /><br />Therefore, the correct answer is:<br />Talia needs to apply the distributive property to get the expression $(3x+4)(5x-1)$.