Dividing a polynomial by an integer or an expression is really just another way of simplifying.
There isn’t actually anything new to learn: you just need to be able to simplify numbers (like 20/15 simplifies down to 4/3) and know how to divide with indices (when you divide with indices, you subtract the powers. So x^7 / x^3 = x^4).
To divide a polynomial by a number (or integer), there are 3 simple steps to follow:
(1) Rewrite the question as a fraction.
(2) Split the problem into pieces by writing each term over the denominator.
(3) Finish by simplifying each term.
EXAMPLE: (8a + 10b - 14) / 2.
(1) Rewrite as a fraction (8a + 10b - 14) / 2
(2) Split it up 8a/2 + 10b/2 - 14/2.
(3) 8a divided by 2 is 4a. 10b divided by 2 is 5b. And 14 divided by 2 is 7.
ANSWER: 4a + 5b - 7.
Simple!! We follow the same 3 simple steps for dividing by monomials too (remember that a monomial is an expression with just one variable in).
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Watch this video to discover how to plot straight lines onto a graph.
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In this video we’re going to look at how to simplify algebraic expressions. Before we get started on simplifying, a few things to remember:
(1) we always use a use a curly x for the letter x in algebra.
(2) We don’t really use the mul
In algebra, we replace a letter with numbers in the process known as substitution. Given the formula A = 1/2bh, if the base is 5cm and the height is 10cm, then the area is ½ X 5 X 10 because we have replaced the b with 5 and the h with 10. You just need to be be careful with negative numbers: it is