How many zeros in minus

A graphing calculator will immediately reveal the number of zeros in a quadratic function, but if you are asked this question on an exam, you most likely won't be allowed to use a graphing calculator to answer it. Fortunately, there's another simple method to determine the number of zeros.

We use the quadratic formula. It can tell us what the values of the zeros are for a function, but we just want to know how many zeros there are, so we only need to use the square root part of the formula.

This expression under the square root symbol, b squared minus 4ac is called the discriminant. When the discriminant is positive, it will have both a positive and negative square root. As indicated by the plus or minus sign, this will result in two zeros. When the discriminant equals 0, there will be only one zero, and when it's negative, there will be no zeros.

Let's plug the A,B, and C values from our example functions into the discriminant to compare the results. The square root of zero is zero, so this confirms that this function will have only one value of x that results in y equaling zero.

The square root of 4 is both plus 2 and minus 2, so that's why this function has two zeros. The square root of -4 is undefined, so this function has no zeros. So, if 0 is nothing, how do we borrow from it in a subtraction problem? The key is to borrow from the next digit to the left. You can go as far to the left as you need to. So if you were to do you would first borrow from the 3, to make the 0 a Then, you can borrow from the 10 to make the 6 a Feel free to practice math by adding kittens to your life.

Multiplying by 0 is actually one of the easiest functions of 0. When you multiply by 0, the answer is always 0. The number 0 divided by any number is zero. Think of it like this: division is about dividing, or splitting things evenly, right? If you have a box of 8 cupcakes, and 4 people at your table, you would divide 8 by 4, and discover that everyone gets two cupcakes. But if you have 4 people at your table and a box with 0 cupcakes, you have nothing to actually divide.

Everyone gets 0 cupcakes. Unfortunately, dividing a number by zero is not as obviously logical. In division, you can always double check your answer by multiplying the quotient the answer to the division problem by the dividend. The number should equal our original divisor, 8. However, this serves as a way to help us understand why we cannot divide a number by 0. If for some reason you encountered 0 as a dividend in a problem, you can express it as 1, even though the answer is technically undefined.

Like in division, 0 in exponential is considered undefined. However, when solving problems and you encounter something that is 0 to the power of another number, or a number to the power of 0, remember the 0 exponent rule. A factorial is a mathematical expression, expressed by! So, 2! Report an Error. Copyright Notice. View Pre-Calculus Tutors. Timothy Certified Tutor. University of Arizona, Bachelor of Science, Microbiology. Melody Certified Tutor.

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