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Alex Ar [27]
3 years ago
11

The average of Landry’s test scores must be at least 92 for her to make an A in Algebra class.

Mathematics
1 answer:
svp [43]3 years ago
3 0

Answer:

  89

Step-by-step explanation:

On the first test, she got 3 more points than the average required, so she can afford to drop 3 points below the average on her second test. She needs 92-3 = 89 or better.

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Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divided by x +2.
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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).  

2x^{4} +x^{2}-10x-1 = P(x)   divided by   (x+2)

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,

2(-2)^{4}+(-2)^{2}-10(-2)-1

= 2(16) + 4 +20 -1

= 32 +4 + 20 - 1

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