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You are watching: Dividing a trinomial by a binomial

Simplify the expression:

Explanation:

Once simplified, (x+1) appears on both the numerator and also denominator, an interpretation we can cancel out both of them.

Which offers us:

Explanation:

can be divided using lengthy division.

The set up would certainly look very comparable to the division of actual numbers, together as when we desire to divide 10 by 2 and the price is 5.

The first step after setting up the "division house" is to watch what the very first term in the outer trinomial requirements to multiply by to match the

in the house. In this case, it"s
will it is in multiplied throughout the other two state in the outer trinomial and the product will be subtracted indigenous the expression inside the department house. The adhering to steps will certainly take ar in the exact same way.

While we could proceed to divide, the would need the use of portion exponents that would make the answer much more complicated. Therefore, the hatchet in red will certainly be the remainder. Due to the fact that this remainder is still topic to it is in being separated by the trinomial external of the department house, we will make the remainder component of the last answer by creating it in fraction form:

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