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Xelga [282]
3 years ago
7

Find the quotient and the remainder: (x^2+3x-4)/(x-1)

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0
Evaluate this...
\frac{x^2+3x-4}{x-1}
the x at the bottom cancels out one of the xs at the top so it will be
\frac{x^2+2x-4}{-1}
Now the one cancels out one of the 1s in the -4 so
{x^2+2x-3}

Hope this helps :)
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Carlos and Ana were asked to find an explicit formula for the sequence -10,-4,2,8,...−10,−4,2,8,...Minus, 10, comma, minus, 4, c
mars1129 [50]

Answer:

Ana is correct

Step-by-step explanation:

Given

Sequence:\ -10, -4, 2,8

Carlos; f(n) = -10 + 6n

Ana; f(n) = -10 + 6(n-1)

Required

Determine who is right?

To do this, we simply test each sequence.

For Carlos:

When n = 1

f(1) = -10 + 6 * 1 = -10 + 6 = -4

When n = 2

f(2) = -10 + 6 * 2 = -10 + 12 = 2

<em>This is incorrect because the first and second term of the sequence are -10 and -4 not -4 and 2</em>

<em></em>

For Ana:

When n = 1

f(1) = -10 + 6(1-1) = -10 + 6*0 = -10 + 0 = -10

When n = 2

f(2) = -10 + 6(2-1) = -10 + 6*1 = -10 + 6 = -4

When n=3

f(3) = -10 + 6(3-1) = -10 + 6*2 = -10 + 12 = 2

When n = 4

f(4) = -10 + 6(4-1) = -10 + 6*3 = -10 + 18 = 8

This is correct.

<em>Hence, Ana is correct</em>

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