Why cant the FOIL method be used to multiply all polynomials?

Why cant the FOIL method be used to multiply all polynomials?

Unfortunately, foil tends to be taught in earlier algebra courses as “the” way to multiply all polynomials, which is clearly not true. (As soon as either one of the polynomials has more than a “first” and “last” term in its parentheses, you’re hosed if you try to use Ffoil, because those terms won’t “fit”.)

Can you use FOIL on Trinomials?

Correct answer: To multiply trinomials, simply foil out your factored terms by multiplying each term in one trinomial to each term in the other trinomial.

When we multiply binomials with two terms we use FOIL method?

Use the FOIL method for multiplying two binomials

1. Multiply the First terms.
2. Multiply the Outer terms.
3. Multiply the Inner terms.
4. Multiply the Last terms.
5. Combine like terms, when possible.

Why do we need to use the FOIL method in solving problem about quadratic Trinomials?

The FOIL Method always works for factoring trinomials and is a very helpful tool if you can’t wrap your brain around guess-and-check. When the FOIL method fails, you know for certain the given quadratic is prime. Remember that when you FOIL, you multiply the first, outside, inside, and last terms together.

Does FOIL work for all polynomials?

Unfortunately, FOIL (an acronym for first, outer, inner and last) tends to be taught as THE way to multiply all polynomials, which is certainly not true. If students want to use FOIL, they need to be forewarned: You can ONLY use it for the specific case of multiplying two binomials.

How do you solve a trinomial with FOIL?

Remember that when you FOIL, you multiply the first, outside, inside, and last terms together. Then you combine any like terms, which usually come from the multiplication of the outside and inside terms. For example, to factor x2 + 3x – 10, follow these steps: Check for the Greatest Common Factor (GCF) first.

What is a binomial and trinomial?

binomial— A polynomial with exactly two terms. trinomial—A polynomial with exactly three terms.

What does multiply the Binomials mean?

When multiplying a binomial times a binomial, each term of the first binomial must be multiplied by each term of the second binomial. Like terms are then combined. These multiplications can occur in any order, as long as each of the first two terms is multiplied by each of the second two terms.

How do you multiply two trinomials using foil?

Correct answer: When multiplying these two trinomials, you’ll need to use a modified form of FOIL, by which every term in the first trinomial gets multiplied by every term in the second trinomial. One way to do this is to use the grid method. You can also solve it piece by piece the way it is set up.

How do you multiply A trinomial by a binomial?

When multiplying this trinomial by this binomial, you’ll need to use a modified form of FOIL, by which every term in the binomial gets multiplied by every term in the trinomial. One way to do this is to use the grid method. You can also solve it piece-by-piece the way it is set up. First, multiply each of the three terms in the trinomail by .

How do you multiply trinomails?

First, multiply each of the three terms in the first trinomail by . Second, multiply each of those three terms again, this time by . Finally multiply the three terms again by . Finally, you can combine like terms after this multiplication to get your final simplified answer:

How do you multiply trinomials using the grid method?

Correct answer: Explanation: When multiplying these two trinomials, you’ll need to use a modified form of FOIL, by which every term in the first trinomial gets multiplied by every term in the second trinomial. One way to do this is to use the grid method. You can also solve it piece by piece the way it is set up.