P(x)=2x^4-x^3+2x^2-kP(x)=2x
4
−x
3
+2x
2
−kP, left parenthesis, x, right parenthesis, equals, 2, x, start superscript, 4, end superscript, minus, x, cubed, plus, 2, x, squared, minus, k where kkk is an unknown integer.
P(x)P(x)P, left parenthesis, x, right parenthesis divided by (x+1)(x+1)left parenthesis, x, plus, 1, right parenthesis has a remainder of 222.
What is the value of kkk?

k=3

Step-by-step explanation:

The given polynomial is

This polynomial is divided by x+1 and the remainder is 2.

We want to find the value of k.

We can find k, using the remainder theorem.

According to the remainder theorem, when p(x) is divided by x+a, the remainder is given by p(-a).

So

This implies that:

We simplify to get:

The value of k is 3.

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m

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