Does anyone understand what to do here?

9514 1404 393

  see attached

Step-by-step explanation:

There are several possible ways to describe the "type" of a polynomial. Here, since there is a separate column for "degree", we assume that "type" refers to the number of terms.

Polynomials with 1, 2, or 3 terms are called, respectively, monomial, binomial, and trinomial. The first two expressions listed have 1 term only, so are monomials. The last expression has 3 terms, so is a trinomial.

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The coefficients are the constant multiplier of the term. Some say a "constant", such as the -8 in the last expression, is not considered a coefficient, because there are no variables that it is multiplying. Here, we have listed it among the coefficients in that expression.

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The degree of a term is the sum of the degrees of the variables in the term. For terms with only one variable, it is the exponent of that variable. For terms such as the second expression, the degree is the sum of the exponents: 3+4 = 7. The degree of a polynomial with more than one term is the highest degree of all the terms.

4 + 5 7/9= 9 7/9

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.