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Q: How do you add the polynomial with a common monomial factor?

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The least common factor of any set of numbers is 1, so that doesn't help at all. Finding the GCF of the numerator and denominator and dividing them by it will help to simplify a fraction. Finding the least common multiple of the denominators (called the least common denominator) will help when you add and subtract fractions. None of those are needed to multiply fractions.

You multiply them.

Yes. If the coefficient of the third degree terms in one polynomial are the additive inverses (minus numbers) of the coefficient of the corresponding terms in the second polynomial. Eg: 3x3 + 2x2 + 5 and -3x3 + x - 7 add to give 2x2 + x - 2

you divide the number by itself then you add the same number onto it and then divide by 3. this is a very uselful trick that my maths teacher, mr plunkstick, told me

4 and 4

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You divide each term of the binomial by the monomial, and add everything up. This also works for the division of any polynomial by a monomial.

Yah, (80 + 10)... it's a polynomial but after you add them up, (90) it's a monomial. Hope I helped :)

Multiply each monomial in the first polynomial with each monomial in the second polynomial. Then add everything up. This follows from the distributive property. Thus, for example: (a + b)(c + d) = ac + ad + bc + bd Often you can combine terms after adding: (x + 3)(x + 5) = x2 + 5x + 3x + 5 = x2 + 8x + 5

The "degree" is only specified for polynomials. The degree of a monomial (a single term) is the sum of the powers of all the variables. For example, x3y2z would have the degree 6; you have to add 3 + 2 + 1 (since z is the same as z to the power 1). The degree of a polynomial is the degree of its highest monomial.

-5x+(3x-8)

You multiply (or divide), not add.

No. Even if the answer is zero, zero is still a polynomial.

GCF is a single number. You can't add a GCF.

X2 - 6X + 27 = 0 what are the factors of 27 that add to - 6? None! This polynomial is unreal and does not intersect the X axis.

Yes. If you add, subtract or multiply (but not if you divide) any two polynomials, you will get a polynomial.

-64 and -9 are a factor pair of 576 that add up to -73

3 & 4

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