Combining Like Terms With Polynomials

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Combining like terms with polynomial equations requires taking terms with the same variable and putting them together. Simplify polynomial equations to solve them with information from a tutor in this free video on math.

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Video Transcript

Hi, my name is Samir Malik and I'm a private tutor for middle school and high school students in Austin. Today we're going to be discussing how to combine polynomials with like terms. So, polynomial is an algebraic term which can be used with any variables and when you have that term then you need to combine them if there are like terms in those variables. So to better help us to understand how we're going to combine these polynomials, I would like to illustrate some examples for you. So the first example I am going to illustrate is three x plus four x which equals seven x. The second one I'm going to show you is two x square plus three x minus four minus x square plus x plus nine. So here we have three x plus four x which equals seven x. And we're able to see here that three x plus four x is seven x which therefore equals seven x. So seven x equals seven x, so this means that this equation is true. because we have taken these two like terms, three x plus four x to create the seven x. And we're trying to solve this by combining like terms, so we have two x square minus the x square, so we have one x square which cancels these two out, then we have three x plus x, so we have plus four x which cancels these out. Then we have negative four plus nine which means we have this plus five. So our answer would be x square plus four x plus five, for this. Be a pretty clear equation because we are combining the like terms for this particular polynomial. So here we're able to understand now how we can combine like terms with polynomials. Because it's crucial when you're trying to solve an equation which has polynomials and like terms, to simplify, to make the equation a little bit easier to understand.

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