Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divided by x +2.
1 answer:
Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).
= P(x) divided by
Step 1: Find a
To find a we will have to convert (x+2) into (x - a) form
i.e. (x+2) = (x - (-2))
therefore, a = -2
Step 2: Substitute value of a in P(x),
By substitution we get,
=
=
= = Remainder
Hence, Remainder is 55.
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When dividing indices with the same base, the rule is to subtract the index of the denominator from the index of the numerator, and to keep the base the same.
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Question 36.
Given the function:
Let's graph the function.
Let's graph the function using desmos, then label the following:
• 1. Points of inflection
,• 2. Critical points
,• 3. Local extremes
• 4. Asymptotes
• The inflection points are the points the function changes concavity.
,• The local minimum is the point where the minimum value is obtained.
,• The critical point is the point the function changes direction.
• There is no vertical or horizontal asymptote.
ANSWER:
• The inflection points are the points the function changes concavity.
,• The local minimum is the point where the minimum value is obtained.
,• The critical point is the point the function changes direction.
• There is no vertical or horizontal asymptote.
