Question

Hi guys can you help me factor these two equations?

Answer 1

A) 5x^2-13x-6

 1. First, you must find the roots of the quadratic equation, by applying the quadratic formula, which is:

 x=-b√(b²-4ac)/2a

 2. The roots are:

 x1=3
 x2=-2/5

 3. Then, you have:

 5(x-3)(x+2/5)

 4. When you simplify, you obtain:

 (x-3)(5x+2)

 B) 4x^4-28x^3+48x^2 

 1. First, you must factor the common term, which is 4x^2. Then:

 4x^2(x^2-7x+12)

 2. Now, you must apply the quadratic formula to obtain the roots of the quadratic equation: x^2-7x+12. Then, you have:

 x1=4
 x2=3

 3. Finally, you obtain:

 4x^2(x-4)(x-3)