You are told to divide a polynomial by a monomial, right? A monomial would be something like x + 3, and your polynomial could be something like x^2 + 7x + 12. The remainder theorem tells you that if you use long division to divide the polynomial by the monomial, if you have a remainder, the monomial is NOT a factor of the polynomial. You put the polynomial under the division sign and the monomial outside the division sign and do the dividing, just like you would if you had 80 under the division sign and 10 outside. When you divide the 80 by the 10, it comes out evenly with no remainder. Same thing with this: if you can divide x^2 + 7x + 12 by x + 3 and there is no remainder, then x + 3 is a factor of the polynomial. What's up on top above the division sign is the other factor. So when you multiply the x + 3 by what's on top, you get back your polyomial. It's really a very perfect and cool thing.
1/2 because there are 3 odd numbers on a number cube and 6 numbers in total and 3/6 simplified is 1/2
Answer:
Both types of lines are built on the same plane although they meet different objectives for which they are built.
Step-by-step explanation:
The difference is that in the case of parallel lines they will never cross and in the case of perpendicular lines if they cross each other, which can give rise to the formation of right angles to each other.
Answer:
4 stacks of packages
4 * 4 = 16 pieces of pancake
Step-by-step explanation:
Maximum amount to spend ≤ $30
Milk chocolate = $3.25
Pancakes per stack = 5.50 (sold in stacks of 4)
Let number of stacks = s
In equality terms :
3.25 + 5.50s ≤ 30
5.50s ≤ 30 - 3.25
5.50s ≤ 26.75
s ≤ 26.75 / 5.50
s ≤ 4.86
Hence, 4 stacks of pancakes can be purchased
