Sal solves the equation s^s=0 by factoring the expression on the left as (s+ 5)(s-7) and finding the s. MIT grad shows how to solve any quadratic equation by factoring. To skip to the shortcut trick, go to time. Teaches how to factor simple quadratics -- those with a leading coefficient of '1' -- quickly and easily.

Recall that they are called "prime" numbers. So when you look at these, 3 and 8 jump. I

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**quadratic expression factoring** degree polynomial. Well, let's just think about what happens if we were to take x plus a, and multiply that by x plus b. Factoring simple quadratics review. Whatever's my constant term, my a times b, the product has to be that. If ever told you that I had two numbers, if I told you that I had the numbers a times b and that they equal to 0, what do we know about either a or b or both of them? And we can also check it using a bit of arithmetic: But let me see, it could be 1 times 24, 2 times 11, 3 times 8, or 4 times 6.

### Quadratic expression factoring - solchen Fällen

So let's think about 24 is 1 and If we have negative 6 plus negative 12, that is equal to negative So if we were to factor this, this would be equal to x plus 5, times x plus Recall that they are called "prime" numbers. So it's x squared plus 15x, plus So, the fact that this number times that number is equal to zero tells us that either s plus 5 is equal to 0 or-- and maybe both of them-- s minus 7 is equal to 0. Since

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Fat lady funny then negative 6y divided by 2y is negative 3. So let's do. This was the whole point about breaking it up like . Now, which of these when I multiply these-- well, obviously when I multiply 1 times 24, I get So if we take negative 8 times 7, that's equal to negative In either case, you're looking for factors that are b units apart. One of the factors has to be negative in order to multiply to get a "minus" six! Let's think about the factors of You can multiply negative 1 times all of these, and you'll see it becomes this. Studying for a test? This looks just like the previous case, except that now the middle term is negative. Now we just have to think of two numbers, that when I multiply them I get positive We could be guessing for a long time before we get lucky. You may think that I should use 1 and 6 , but — One of the factors has to be negative in order to multiply to get a "minus" six! Remember that two negatives multiply to a positive. If you're seeing this message, it means we're having trouble loading external resources on our website. Cite this article as: