What is a polynomial?
A polynomial is a math expression or question that has numbers, letters and exponents. An example of a polynomial is 2x+6y-3.
Vocabulary
Degree: The degree is when you look at all the terms and you take the highest exponent and that’s the degree of your expression. For example: x2 − 4x + 7, the degree would be 2.
Constant: The constant is the whole number that doesn’t have a variable.
Coefficient: The coefficient is the number that goes before before the variable, for example: 5xy (the 5 would be the coefficient)
Leading coefficient : The leading coefficient is pretty much the same as a normal coefficient it just means it’s at the start of the “line”. For example: 4x2 − 9x + 5 4 would be the leading coefficient.
Binomial: Binomial is when your answer has two terms. For example: 3x+5
Trinomial: Trinomial is when your answer has three terms. For example: 3x2 − 6x + 7
Monomial: Monomial is when your answer has one terms. For example: 7x2
Add polynomials
To add polynomials you group the like terms. the like terms are when they have the same exponent and variable. So you can’t add together 4 and 5x, because they aren’t like terms. What i do is a circle or make a box around the different terms and that’s how I make sure I don’t forget any of them.
Subtract polynomials
When you subtract, you still group like terms. But you have to flip anything in your bracket, because two negatives equal a positive and the rest equal a negative.
Multiply polynomials (distributive)
When you multiplying polynomials you use the distributive property and you multiply each term of the first polynomial by each term after. Then add the answers together and combine like terms to simplify. You also use the same law for exponents, so when you multiply the numbers you add the exponents.
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Dividing polynomials
For division you literally just divide them, but keeping in mind you have to subtract the exponents.
Make connections to previous units (exponents and rationals)
Exponents definitely connect to this unit because we see them, and the higher the exponent the more powerful it is. Rational numbers also because we see them all, fractions, whole numbers and decimals.
Make connections to previous units (exponents and rationals)
(This is my video)