Which one of the following options is true when considering the expansion of the binomial expression (x+y)4?

A. The last term of the expansion of (x+y)4 is y4.

B. The coefficients of the expansion of (x + y)4 are: 1, 4, 4, 1.

C. The expansion of (x + y)4 will yield 4 terms.

D. The sum of the exponents of each term of the expansion of (x + y)4 is 5.

hdjd

step-by-step explanation:

p

step-by-step explanation:

the answer is d

step-by-step explanation:

you can also use mathway to get you answer + steps

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.