Question

Using the acronym M.O.N.O.M.I.A.L.S., form a thought of what you have

learned from multiplying and dividing monomials.​

Answer 1

An expression with a single term is a monomial, for example, 4x, 5x2, 7x4. An expression having two terms is called a binomial, like, 11x + 2xy, or, 13y + x3. An expression having three terms is called a trinomial, like, 4x + x2 + 9x3.

Answer 2

Answer:

(−4x 2 )(7x 3 )left parenthesis, minus, 4, x, squared, right parenthesis, left parenthesis, 7, x, cubed, right parenthesis

When a number is next to a variable, it means they are multiplied. So,

(\blueD{-4}\maroonD{x^2})(\blueD{7}\maroonD{x^3})(−4x 2 )(7x 3) left parenthesis, start color #11accd, minus, 4, end color #11accd, start color #ca337c, x, squared, end color #ca337c, right parenthesis, left parenthesis, start color #11accd, 7, end color #11accd, start color #ca337c, x, cubed, end color #ca337c, right parenthesis

is the same as

(\blueD{-4})(\maroonD{x^2})(\blueD{7})(\maroonD{x^3})(−4)(x 2 )(7)(x 3)left parenthesis, start color #11accd, minus, 4, end color #11accd, right parenthesis, left parenthesis, start color #ca337c, x, squared, end color #ca337c, right parenthesis, left parenthesis, start color #11accd, 7, end color #11accd, right parenthesis, left parenthesis, start color #ca337c, x, cubed, end color #ca337c, right parenthesis.

Now we can rearrange the factors because multiplication is commutative (a fancy way of saying that the order in which we multiply things doesn't matter).

\blueD{(-4)(7)}\maroonD{(x^2)(x^3)}(−4)(7)(x 2 )(x3\blueD{-28}\maroonD{x^5}−28x 5

Step-by-step explanation:

full explanation

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