When 3x^2 - 5x + c is divided by x + k, the quotient is 3x + 1 and the remainder is 3. Find c and k.

The values are k = -2 and c = 1

Step-by-step explanation:

Since it's a division of polynomials we can calculate "c" and "k" by using the inverse operation, which is the product. We need to multiply "x + k" with "3x + 1" and sum it with 3, that should be equal to "3x² - 5x + c". We have:

In order for two polynomials to be equal, every coefficient must be equal, therefore:

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%