Given:
Values of a polynomial P(x).
To find:
The remainder when P(x) is divided by (x+5).
The remainder when P(x) is divided by (x-3).
Solution:
If a polynomial P(x) is divided by (x-a), then the remainder is P(a).
If the polynomial P(x) is divided by (x+5), then the remainder is P(-5).
Therefore, the remainder is -2 when P(x) is divided by (x+5).
If the polynomial P(x) is divided by (x-3), then the remainder is P(3).
Therefore, the remainder is 7 when P(x) is divided by (x-3).
The events are independant (i.e. what she rolls on the cube has no impact on how the spinner works). The probability of two independant events is given by:
For the cube, 1/2 the numbers meet our requitment of being even, so:
For the spinner, there are 3 odds out of 5 (1, 3 & 5) so:
and then:
Answer:
1 as a percentage is 100%
For this case we have an equation of a line of the form:
Where:
m: It's the slope
b: It is the cutoff point with the y axis
We have the equation:
So, we have:
Answer:
The slope is
