Write the given quadratic equation in standard form. Identify a, b, and c. − 4 x 2 + x = 8 -4x^2+x=8 − 4 x 2 + x = 8

Hey, everyone. Let's take a look at this practice problem. So we're gonna write this quadratic equation in standard form and identify a, b, and c. So here, I have negative 4x squared plus x is equal to 8. Remember, standard form means that all of my terms are on the same side of the equation in descending order of power. So in order to achieve that here, I need to move this 8 over to the other side, which I can do by subtracting 8. It will cancel on that right side, leaving me with all of my terms on the same side, negative 4 x squared plus x minus 8 is equal to 0. Now, this is in standard form. All my terms are on the same side in descending order of power. So let's go ahead and identify a, b, and c. Remember, a is our leading coefficient. It's gonna be what's attached to that x squared term. So in this case, it is negative 4. Then b is the term that is multiplying our x term, which in this case, there's an invisible one multiplying that x. So b is equal to 1. And then finally, c is our constant. And here, our constant is negative 8. Always make sure that you look at that sign, and that's it. So that's all for this one. I'll see you in the next video.