Factoring is the opposite of FOILing. If you look at the factors (x+2)(x+5) and FOIL it (First, Outer, Inner, Last) you will end up with x2+5x+2x+10 which simplifies to x2+7x+10. In your case, they give you the polynomial FOILed out and you have to put...

For this problem, they have given you most of the information you need. You have an equation and you have a point on the graph. All you have to do it plug the x and y values that they gave you into the equation and solve for c. We know x=0 and y=5 so we get 3(0)-c=2(5). ...

You did almost everything correctly. You found the right slope and plugged it back into the equation which should look like y-(-2)=-4/3(x-5) There should be parenthesis around the (x-5). When you continue solving, you will get a positive 20 (the -4/3 and the -5 cancel out) so you will end up with...

The standard form of a line is Ax+By=C and we want to make sure A, B and C are integers (whole numbers). We also want A to be positive. You currently have a fraction in your problem so I would suggest multiplying by 3 on both sides as your first step so you can get rid of the fraction and only deal...

When solving a problem like this you must remember order of operations. Most people remember PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction). Because you have parenthesis you must do that operation first so we will look at (2m^5)^6. The 6 gets distributed...