Question

Hi guys can you help me factor these two equations?

5x^2-13x-6

4x^4 – 28x^3 + 48x^2

please show your work on both of them, and thank you so much!

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)