Question

How to factor this into a polynomial:

2x^3-3x^2+3

Answer 1

I'll explain.

Answer 2

Give me one second, so I can draw it out for you.

Answer 3

Alrighty

Answer 4

First, we have to multiply the two underlined numbers together

Answer 5

What do you get. Just multiply the coefficients.

Answer 6

In other words, multiply 2 and 3. You get?

Answer 7

It gives us 6.

Answer 8

Then you have to ask yourself what when multiplied gives you 6, but when added gives you -3?

Answer 9

The only factors of 6 are:
6(1)
3(2)

Answer 10

Neither of which will give you -3

Answer 11

Therefore, the polynomial is not factorable with rational numbers.

Answer 12

If you have found this response helpful, please medal. :) Have a nice night.

Answer 13

@Blondie_B23
Your explanation is good for \(ax^2 + bx + c\).
This was \(ax^3 + bx^2 + c\).
I'm not sure your method applies to this.

Answer 14

@DanteTheStrange Are you sure you copied the problem correctly?
Is it really a third-degree polynomial?

Answer 15

Please go back to the original problem and copy it here.