math project pt. 2
Siužetinės Linijos Tekstas
- WATCH YOUR WORDS, YOUNG MAN! I have heard you complain about your math test. Perhaps I can be of assistance.
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- I-I'M S-S-SORRY FISH... YES! PLEASE HELP ME, HELP ME!!!
- Okay. I don't know how to factor polynomials at all. Can you explain to me step-by-step?
- Sure thing. We can start nice and simple by factoring trinomials. The trinomial equation is ax^2 + bx + c = 0. We want numbers of x to make the equation equal to zero. Not to make you confused, we could substitute by using numbers. For example, x^2 + 10x + 16 = 0. We can find the factor pairs of c that add to b. The numbers are 8 and 2. Once you figure out the numbers, make sure to put them in parentheses, otherwise known as the factored form: (x+8)(x+2). But wait, if you type in this equation in the calculator, the answers will be given as -8 and -2. This is because you should put each equation equal to zero. x + 8 = 0, x + 2 = 0. So, there are two solutions: -8 and -2.
- Oh! I got it. Well, is there another thing?
- Unfortunately, yes. But you should not worry at all! We can factor the difference between two perfect squares. Let's say that we have x^2 - 25. The equation is a^2 - b^2, and its factored form is (a+b)(a-b). We can get the square root of x^2 and put it into both a's: (x+b)(x-b). Then, we can square root 25, which is 5, and we will put each 5 on one b: (x+5)(x-5). Also, remember that the sum of two squares is not a perfect square!
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