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)
