Which algebraic expression is a polynomial with a degree of 5?
3x5 + 8x4y2 – 9x3y3 – 6y5
2xy4 + 4x2y3 – 6x3y2 – 7x4
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5

Step-by-step explanation:

Since, the highest degree in a polynomial is called the degree of the polynomial,

While, the degree of each term in a polynomial with two variables is the sum of the exponents in each term.

In ,

Sum of exponents are 5, 6, 6, 5,

So, degree of the polynomial is 6.

In ,

Sum of exponents are 5, 5, 5, 4,

So, degree of the polynomial is 5.

In ,

Sum of exponents are 6, 5, 4, 4, 4, 4

So, degree of the polynomial is 6.

In ,

Sum of exponents are 6, 5, 5, 5, 5

So, degree of the polynomial is 6.

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.