Multiplying and dividing polynomials:
The polynomial is one or more terms having the constants with a single variable or a combination of a variable with the integral powers.These terms are with addition or subtraction. Multiplying polynomial is a method in which each term of the polynomial are multiplied to each other one by one. To multiply we can use either horizontal method or vertical method. The polynomial division is done by long division method. Dividing polynomials can be factorization method. For that we have to factorize the given polynomial. Let's see the steps for multiplying and dividing polynomials and examples.
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Steps for Multiplying Polynomials:
Step 1: First write the factors inside the parenthesis.
Step 2: If one of the polynomial is shorter than the other then write the small polynomial as a first one.
Step 3: Now take the first term from first polynomial and multiply it with the each term of the second polynomial.
Step 4: Now take the next term from the first polynomial and multiply it with the each term of the second polynomial.
Step 5: Repeat the step 4 until the end of the last term.
Step 6: Now add all the solution which we got in previous steps.
Step 7: Combine the like terms.
Step 8: Simplify the solutions by combining common terms.
Example for multiplying polynomials:
Let us consider the given polynomial are (x^2 +1) and (x+1)
The given polynomial can be written as (x+1) (x^2 +1)`=>` x*x^2+x*1+1*x^2+1*1
`=>` x^3+x+x^2+1
The above expression can be written as x^3+x^2+x+1
Steps for Dividing Polynomials:
Step 1:Set up the given polynomials into long division.
Step 2:To get the first term of the quotient divide the first term of the divisor by the first term of the dividend.
Step 3: Multiply the divisor with the term we got from the step 2.
Step 4:Subtract the divisor from the result we got from step 3.
Step 5: We have to do the steps 2, 3 and 4 until there is no term to divide.
Step 6:The answer is the quotient and if we have remainder write the remainder over the Quotient.
Example for dividing polynomials:
Let us consider the given polynomial (x^2-x-2) and (x+1)
In this the quotient is x-2 and the remainder is 0.
The polynomial is one or more terms having the constants with a single variable or a combination of a variable with the integral powers.These terms are with addition or subtraction. Multiplying polynomial is a method in which each term of the polynomial are multiplied to each other one by one. To multiply we can use either horizontal method or vertical method. The polynomial division is done by long division method. Dividing polynomials can be factorization method. For that we have to factorize the given polynomial. Let's see the steps for multiplying and dividing polynomials and examples.
Stuck on any of these topics math solver with steps for free, help with math word problems try out some best math website like mathsisfun, mathcaptain.com and math dot com.
Steps for Multiplying Polynomials:
Step 1: First write the factors inside the parenthesis.
Step 2: If one of the polynomial is shorter than the other then write the small polynomial as a first one.
Step 3: Now take the first term from first polynomial and multiply it with the each term of the second polynomial.
Step 4: Now take the next term from the first polynomial and multiply it with the each term of the second polynomial.
Step 5: Repeat the step 4 until the end of the last term.
Step 6: Now add all the solution which we got in previous steps.
Step 7: Combine the like terms.
Step 8: Simplify the solutions by combining common terms.
Example for multiplying polynomials:
Let us consider the given polynomial are (x^2 +1) and (x+1)
The given polynomial can be written as (x+1) (x^2 +1)`=>` x*x^2+x*1+1*x^2+1*1
`=>` x^3+x+x^2+1
The above expression can be written as x^3+x^2+x+1
Steps for Dividing Polynomials:
Step 1:Set up the given polynomials into long division.
Step 2:To get the first term of the quotient divide the first term of the divisor by the first term of the dividend.
Step 3: Multiply the divisor with the term we got from the step 2.
Step 4:Subtract the divisor from the result we got from step 3.
Step 5: We have to do the steps 2, 3 and 4 until there is no term to divide.
Step 6:The answer is the quotient and if we have remainder write the remainder over the Quotient.
Example for dividing polynomials:
Let us consider the given polynomial (x^2-x-2) and (x+1)
In this the quotient is x-2 and the remainder is 0.
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