In the previous post we have discussed about Use Greatest Common Factor Calculator and In today's session we are going to discuss about Multiplying Polynomials. We will learn about Multiplying Polynomials in this unit. To understand the concept of multiplying polynomial we come across different types of polynomials. In case we have to multiply a monomial with the monomial, we will simply multiply the coefficient of both the terms and then the powers of the variables are added up. Suppose we are multiplying 3x with 5xy>2, here we have the coefficient of the terms as 3 and 5, so we write
3x * 5xy>2 = 15 * x>2 * y>2
Thus we say that constants are multiplied separately and then the variables are multiplied separately to get the product of two monomials. (know more about Polynomial, here)
Now proceeding further, let us consider the two polynomials, where one of them is a monomial and the other one is a binomial, (it means a single term is to be multiplied with the two terms) In such a situation, we will multiply the single term of the monomial with both the terms of the binomial separately and thus the result we will get will be the binomial.
Let us consider the following example: Multiply 2x>2 with ( 3x + 5y)
Here 2x>2 is a monomial and the expression 3x + 5y is the binomial. So we will first multiply the term 2x>2 with 3x and then the same term is multiplied with the term 5y. Thus we get the product as follows:
( 2x>2 * 3x) + ( 2x>2 * 5y)
= 6 x>3 + 10x>2 Y Ans
Thus we observe that the resultant polynomial is the binomial. In the same way if a trinomial is multiplied with the monomial, we get the polynomial as the trinomial only.
To learn about the Positive Correlation, we can make use of math online tutors. cbse board books are also available online which the students can use to consult the specific topics.
3x * 5xy>2 = 15 * x>2 * y>2
Thus we say that constants are multiplied separately and then the variables are multiplied separately to get the product of two monomials. (know more about Polynomial, here)
Now proceeding further, let us consider the two polynomials, where one of them is a monomial and the other one is a binomial, (it means a single term is to be multiplied with the two terms) In such a situation, we will multiply the single term of the monomial with both the terms of the binomial separately and thus the result we will get will be the binomial.
Let us consider the following example: Multiply 2x>2 with ( 3x + 5y)
Here 2x>2 is a monomial and the expression 3x + 5y is the binomial. So we will first multiply the term 2x>2 with 3x and then the same term is multiplied with the term 5y. Thus we get the product as follows:
( 2x>2 * 3x) + ( 2x>2 * 5y)
= 6 x>3 + 10x>2 Y Ans
Thus we observe that the resultant polynomial is the binomial. In the same way if a trinomial is multiplied with the monomial, we get the polynomial as the trinomial only.
To learn about the Positive Correlation, we can make use of math online tutors. cbse board books are also available online which the students can use to consult the specific topics.
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