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in this video we're going to focus on dividing polynomial functions using synthetic division so let's start with this example let's say we have x cubed minus 2x squared minus five x plus six and let's divide it by x minus three using synthetic division how can we do this well first let's draw this on the inside you want to put the coefficients of this function so it's 1x cubed minus two x squared minus five x plus six now you need to put a number here what number do you think goes in that region if you take this factor x minus three and if you set it equal to 0 and solve for x you'll see that x is equal to 3. that's one of the zeros of the function at least sometimes it's a zero but basically if you see minus 3 reverse it so in this case we're gonna use positive three so let's bring down a one three times one is three negative two plus three is one and then multiply 3 times 1 is 3 and then add so you're going to multiply add multiply add and keep doing that negative 5 plus 3 is negati

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