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how to divide polynomials by monomials examples
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Question:I need help figuring out how to divide a polynomial by a monomial for homework. The example on my is:
a^2+2a/a
Help please, I don't get this at all. Thanks in advance!
Answers:You can do that in a few different ways. The easiest is just learning how to factor. You would rewrite the equation as (2*a*a + 2*a). Its pretty clear that "a" is a common factor so it can be removed from the equation. So factored is would be a(2a+2). The question now becomes a(2a+2)/a . The two a in the denominator and the numerator cancel and you are left with 2a+2. You would also use synthetic or long division. I hope this helped!
Answers:You can do that in a few different ways. The easiest is just learning how to factor. You would rewrite the equation as (2*a*a + 2*a). Its pretty clear that "a" is a common factor so it can be removed from the equation. So factored is would be a(2a+2). The question now becomes a(2a+2)/a . The two a in the denominator and the numerator cancel and you are left with 2a+2. You would also use synthetic or long division. I hope this helped!
Question:Create a unique example of dividing a polynomial by a monomial and provide the simplified form. (PLEASE) Explain, in complete sentences, the two ways used to simplify this expression and how you would check your quotient for accuracy.
Answers:(x  2x + x 1) : ( x 2)= the quotient 3x +4x+ 9 and reminder 17 Here is the method for calculation 3x +4x+ 9  ** x2 / 3x  2x + x 1 \ first 3x divide by x the result is 3x **** 3x  6x *********** 3x multiply by ( x2)  *  ******substraction *******4x + x **********divide again by x etc +4x *******4x 8x ********** 4x multiply by x2 * *******substraction ....etc *********+9x  1 *********+9x 18 *  ************+17 ***** here is the rest because 17 can t be divided by x you can do the same way for x +x2 / 2x 0x + 3x  2x + x 1 \
Answers:(x  2x + x 1) : ( x 2)= the quotient 3x +4x+ 9 and reminder 17 Here is the method for calculation 3x +4x+ 9  ** x2 / 3x  2x + x 1 \ first 3x divide by x the result is 3x **** 3x  6x *********** 3x multiply by ( x2)  *  ******substraction *******4x + x **********divide again by x etc +4x *******4x 8x ********** 4x multiply by x2 * *******substraction ....etc *********+9x  1 *********+9x 18 *  ************+17 ***** here is the rest because 17 can t be divided by x you can do the same way for x +x2 / 2x 0x + 3x  2x + x 1 \
Question:Dont answer if you don't know.
Provide examples if possible.
Thanxxx!
Answers:Here's an answer I provided a few months ago: The question was "What is (8x^3  4x^2  7) / (2x+1)"? The technique is the same even if what you're dividing by is a monomial. This is the closest example I could find.  Long division of polynomials. Set it up like you would any 'normal' long division problem. .........______________________ 2x+1 ) 8x^3  4x^2  ........... 7 Then ask yourself "What do I need to multiply 2x by to get 8x^3? Answer is 4x^2. So that goes on top and you multiply (2x+1) * 4x^2 and enter that below the 8x^3  4x^2  7 line and subtract  just like in 'normal' long division. Continue this process until you get an exact division or a remainder. I got (8x^3  4x^2  7) / (2x +1) = 4x^2  4x + 2  [9/(2x+1)]
Answers:Here's an answer I provided a few months ago: The question was "What is (8x^3  4x^2  7) / (2x+1)"? The technique is the same even if what you're dividing by is a monomial. This is the closest example I could find.  Long division of polynomials. Set it up like you would any 'normal' long division problem. .........______________________ 2x+1 ) 8x^3  4x^2  ........... 7 Then ask yourself "What do I need to multiply 2x by to get 8x^3? Answer is 4x^2. So that goes on top and you multiply (2x+1) * 4x^2 and enter that below the 8x^3  4x^2  7 line and subtract  just like in 'normal' long division. Continue this process until you get an exact division or a remainder. I got (8x^3  4x^2  7) / (2x +1) = 4x^2  4x + 2  [9/(2x+1)]
Question:this is the question:
Explain how to multiply a monomial by a polynomial. Also include examples where you need to simplify after multiplying .
HELP! PLEASE AND THANK YOU .
Answers:1. Multiply term by term. 2. Add/subtract all numbers with same variables. Example: (x+1)(x +x+1) x +x +x+x +x+1 x +2x +2x+1
Answers:1. Multiply term by term. 2. Add/subtract all numbers with same variables. Example: (x+1)(x +x+1) x +x +x+x +x+1 x +2x +2x+1
From Youtube
Divide a Polynomial by a Monomial :Videos by Julie Harland yourmathgal.com Explains and shows examples of how to Divide a Polynomial by a Monomial
Dividing a Polynomial by a Monomial Problem 1 :www.greenemath.com In this video we explain how to divide a polynomial by a monomial.