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Reptile [31]
3 years ago
6

Alvin wants to know what his average paddling rate was for a canoe trip to a campsite. On the way there it took him 7 hours agai

nst a river current of 2 km/hr. On the way back, the same distance took him 5 hours with the same 2 km/hr current. Let r= Alvin’s average paddling rate. Express the rates against the current and with the current in terms of r to complete the below table.

Mathematics
1 answer:
borishaifa [10]3 years ago
8 0
Whoa .. that’s a lot
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Explanation:

Let p(x) = 2x^2 - 2x - 12

If we divide p(x) over (x-k), then the remainder is p(k). I'm using the remainder theorem. A special case of the remainder theorem is that if p(k) = 0, then x-k is a factor of p(x).

Compare x+3 = x-(-3) to x-k to find that k = -3.

Plug x = -3 into the function

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p(-3) = 2(-3)^2 - 2(-3) - 12

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We don't get 0 as a result so x+3 is not a factor of p(x) = 2x^2 - 2x - 12

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Let's see what happens when we factor p(x)

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The factors here are 2, x-3 and x+2

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