00:01
This problem asks us for the quotient of 2x squared plus 7x minus 3 divided by 2x plus 5.
00:05
So we're going to do long division to solve this, and there's no placeholders we need, because both of these expressions go from highest exponent to low as well, skipping a term.
00:14
So you have power 2, power 1, and then the negative 3, and you also have power 1 for the 2x going to the constant.
00:19
So we'll divide first term by first term, 2x squared, divided by 2x, would leave us with x.
00:25
Then we're going to take the x and multiply by both of these values, the 2x and the 5.
00:30
X times 2x, 2x squared, and then x times 5, it's 5x.
00:36
So now we'll draw our line and we'll subtract, but remember we do have to subtract the entire line.
00:41
So it is 2x squared minus 2x squared, so the x squared are gone.
00:45
7x minus 5x leaves us 2x, and once we finish the subtraction, we bring down the next term, and then we start the process all over again.
00:53
So this time we're going to say what is our new leading term divided by our first term up here.
00:59
So 2x divided by 2x is plus 1...