Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? check all that apply.
– 5xy3 + 9x2y
*0
*5xy^3
*9x^2 y
*8y^4
*4xy^3

First, if we have a polynomial that the form is as follow P(x,y)=a1x^n-1y^p-1+ a2x^n-2y^p-2 + . . . . + a0xy+c, the degree can be found with the sum of the highest value of power of each term. If the number of term is 3, it is called trinom, if it is 2, the polynomial is called binom. So in our case, 0– 5xy3 + 9x2y is a binom with a degree of 4, because number of term 2, degree =1 + 2 =3, upper than 2+ 1(the second term) 4xy^3– 5xy3 + 9x2y = -xy3 +9x2y, binome degree 4, and the last possibility is 9x^2 y – 5xy3 + 9x2y =18x^2 y – 5xy3, binome degree 4

The answer is 76° i believe

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for