Question

Which terms could be used as the last term of the expression below to create a polynomial written in standard form? Check all that apply. –5x2y4 + 9x3y3 + ___
x5
y5
–4x4y5
6x4y
–xy5
–x4/9

Answer 1

A polynomial is said to be in standard form if it is written in the order of degree from highest to lowest from left to right.

The degree of a term of a polynomial is the exponent of the variable or the sum of the exponents of the variables of that term of the polynomial.

Thus, given the expression
$-5x^2y^4 + 9x^3y^3+\_\_\_$

$-5x^2y^4$ has a degree of 6, and
$9x^3y^3$ has a degree of 6.

Thus, the exponent of the variable or the sum of the exponents of the variables of the next term of the polynomial must be less than or equal to 6 for the polynomal to be said to be in standars form.

Therefore, the terms that could be used as the last term of the given expression to create a polynomial written in standard form are
$x^5, \\ \\ y^5, \\ \\ 6x^4y, \ and \\ \\ -xy^5$

Answer 2

The correct answers are 1,4,6.

A) x^5

D) 6x^4y

F) - x^4/9