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It's the difference between multiplication and division. Multiplying binomials is combining them. Factoring polynomials is breaking them apart.

Q: What is the difference multiplying binomials with factoring polynomials into binomial factors?

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The same way that factoring a number is different from multiplying two factors. In general, it is much easier to multiply two factors together, than to find factors that give a certain product.

Try all the factoring techniques that you have been taught. If none work then it is prime (cannot be factored), try looking for (1) a greatest common factor (2) special binomials ... difference of squares, difference (or sum) of cubes (3) trinomal factoring techniques (4) other polymonials look for grouping techniques.

(3k - 2)(3k - 2) or (3k - 2)2

It means finding numbers (constant terms), or polynomials of the same or smaller order that multiply together to give the original polynomial.

Well factoring is the inverse of the distribution property, which is a(b+c)=ab+ac. When you factor you are turning big terms into smaller terms and you can go back to the bigger, single term by foiling a.k.a multiplication

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The same way that factoring a number is different from multiplying two factors. In general, it is much easier to multiply two factors together, than to find factors that give a certain product.

rafael

Smallest of Multiple Addition

A strategy that would be appropriate in factoring polynomials with 4 terms would be by grouping where you first determine if the polynomial can be factored by a group.

Multiplying.

you dont

The two things are completely unrelated.

multiplying

factoring whole numbers,factoring out the greatest common factor,factoring trinomials,factoring the difference of two squares,factoring the sum or difference of two cubes,factoring by grouping.

Try all the factoring techniques that you have been taught. If none work then it is prime (cannot be factored), try looking for (1) a greatest common factor (2) special binomials ... difference of squares, difference (or sum) of cubes (3) trinomal factoring techniques (4) other polymonials look for grouping techniques.

When you are doing homework with algebra or other stuff Ect

(3k - 2)(3k - 2) or (3k - 2)2