128k views
2 votes
When Eric multiplied two binomials together, his result was a trinomial. An example is

(+2) G + 3) = x2 + 5x+6. Eric concluded that the product of any two binomials is a
trinomial. The product of which pair of binomials disproves Eric's conclusion?

1 Answer

3 votes

Answer:

(x + 4)(x - 4)

Explanation:

There are actually quite a lot of pairs of binomials the disproves Eric's conclusion, but they all model after the same special product: a^2 - b^2.

The special product a^2 - b^2 can be factored into (a + b)(a - b) and for all real a and b, it will come out as a binomial.

Here is an example:

(x + 4)(x - 4)

We can use the distributive property to get:

x^2 - 4x + 4x - 16

which is the same as

x^2 - 16

This would disprove Eric's conclusion.

User Sigve Kolbeinson
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories