Find the quotient using long division
2 Answers By Expert Tutors
Effective High School STEM Tutor & CUNY Math Peer Leader
When dividing, you want to make sure you have all the term in descending order. If you do not see a term with a variable, then the coefficient is zero.
x2 + 0x + 5
(x2 + 1) | x4 + 0x3 + 6x2 + 0x + 2
x4 + x2
0x3 + 5x2
5x2 + 2
5x2 + 5
Quotient = x2 + 5
Remainder = -3
Now we check.
(x2 + 5)(x2 + 1) - 3 =
x4 + 6x2 + 5 - 3 =
x4 + 6x2 + 2
This checks out!!
Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018
I advise you to examine examples of polynomial Long Division; these may be found in any good Algebra book or in online resources.
Be sure to make room for missing terms (of degree 3 and 1) in the dividend.
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