Let a(x) be a polynomial function of degree 4. For which functions b(x) can synthetic division be used to rewrite a(x)/b(x) as q(x) + r(x)/b(x)? Select all that apply.
b(x) = x
b(x) = 2x^3
b(x) = 8^x-2
b(x) = x- 11
b(x) = 26 + x

The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.

The two box p digram the two box plots show the data of the pitches thrown by two pitchers throughout the season. which statement is correct? check all that apply. pitcher 1 has a symmetric data set. pitcher 1 does not have a symmetric data set. pitcher 2 has a symmetric data set. pitcher 2 does not have a symmetric data set. pitcher 2 has the greater variation. ots represent the total number of touchdowns two quarterbacks threw in 10 seasons of play

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.