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How is factoring a polynomial different from multiplying two binomials?
Wiki User
∙ 9y ago
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.
Wiki User
∙ 9y ago
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What is the difference multiplying binomials with factoring polynomials into binomial factors?
It's the difference between multiplication and division. Multiplying binomials is combining them. Factoring polynomials is breaking them apart.
How do you tell if a polynomial cannot be factored?
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.
What does factoring a polynomial mean?
It means finding numbers (constant terms), or polynomials of the same or smaller order that multiply together to give the original polynomial.
How do you factor the polynomial 7x plus 49?
Factoring involves 'factoring out' the common numbers for each term. In a simple general form, a + ab = a(1+b). It's like "undistributing" factors: instead of multiplying both terms by a number, you essentially divide both terms by a number. In (7x + 49), both terms - 7x and 49 - have 7 as a factor. So, it can also be written: 7x + 49 = 7(x+7)
How is factoring related to multiplying?
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
What is the difference multiplying binomials with factoring polynomials into binomial factors?
It's the difference between multiplication and division. Multiplying binomials is combining them. Factoring polynomials is breaking them apart.
How do you know if you have simplified a polynomial correctly?
I suppose you mean factoring the polynomial. You can check by multiplying the factors - the result should be the original polynomial.
What is the process of writing a polynomial as a product?
Factoring
Is factoring 3 terms different if the polynomial has more than one variable?
Yes.
What is the inverse of factoring?
Multiplying.
How do you tell if a polynomial cannot be factored?
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.
What is the process of factoring terms and numbers in an expression?
multiplying
Is the factor of polynomials means to rewrite it as multiplication?
Yes. Factoring a polynomial means to separate it into smaller factors, which, when multiplied together, give you the original polynomial.
What does factoring a polynomial mean?
It means finding numbers (constant terms), or polynomials of the same or smaller order that multiply together to give the original polynomial.
How do you solve a factoring polynomials problem if there is no greatest common factor?
If there is no common factor then the polynomial cannot be factorised. If there is no common factor then the polynomial cannot be factorised. If there is no common factor then the polynomial cannot be factorised. If there is no common factor then the polynomial cannot be factorised.
What is the need for factoring a polynomial?
Do you mean why do why do we factor a polynomial? If so, one reason is to solve equations. Another is to reduce radical expressions by cancelling out factors in the numerator and denominator.
What is the answer to mn5-m3n by factoring polynomial?
mn(n4-m2)mn(n2+m)(n2-m)
