If you multiply a binomial by a trinomial, is the degree of the product always 5?

NO... because a binomial is "a mathematical expression with two terms" so...

x^7 + 3 is a binomial... you will always get 5 terms, but the degree could be anything... (x^7...... )(x^2........) would give you an x^9

no

naw b

Well, let me put on my mathematician's red nose and entertain you with an answer! When you multiply a binomial by a trinomial, it can produce a polynomial of any degree depending on the terms involved. In some cases, the degree of the product will indeed be 5, but it can also be higher or lower. It's like throwing a clown wig on algebra, you never know what you're gonna get!

No, the degree of the product of a binomial and a trinomial is not always 5. The degree of a polynomial is determined by the highest power of the variable that appears.

To find the degree of the product, we need to multiply each term of the binomial by each term of the trinomial and then combine like terms. The resulting polynomial will have terms of different degrees depending on the powers of the variables involved.

For example, let's consider multiplying the binomial (x + 2) by the trinomial (3x^2 - 4x + 5):

(x + 2) * (3x^2 - 4x + 5)

When we distribute the binomial across the trinomial, we get:

3x^3 - 4x^2 + 5x + 6x^2 - 8x + 10

Combining like terms, we have:

3x^3 + 2x^2 - 3x + 10

As you can see, the resulting polynomial has terms with degrees ranging from 3 to 0. In this case, the degree of the product is 3 because the highest power of the variable 'x' is 3.

So, in general, the degree of the product of a binomial and a trinomial will depend on the powers of the variables involved, and it may not always be 5.