By the word polynomial, we mean an algebraic expression with two or more terms. We will not miss recalling here the definition of algebraic expression or in simpler words what an algebraic expression means. An algebraic expression is a relationship between the constants & variables bound together with the help of different mathematical operations. The expression is a group of terms related to each other by the operations of addition & subtraction, whereas the terms themselves are formed by the bond of multiplication & division of the constants & variables. By working out multiplying polynomial worksheet students can score high grades. Get more detail here.
To multiply the polynomials (also read Dividing Polynomials), there may be a binomial or a trinomial or even a polynomial on one side & one of these on the other side as well. You can also play multiplying polynomials worksheet online to improve your skills.
We must remember that while multiplying the polynomials, we keep one of the polynomials intact & of the other polynomial, each of the term; as many as may be ; is multiplied by the polynomial which is intact turn by turn. Then each multiplication relation is opened using the distributive property. Thereafter, the like terms are combined & finally the product is obtained.
Let us try to understand it with the help of an example here .
Let the two polynomials to be multiplied be ( 3x + 8y – 2 ) and ( x – 2y + 6 )
We can keep any of the two polynomials intact, let us take ( 3x + 8y – 2 ) multiply it by each of the terms of the other polynomial , i.e. , ( x – 2y + 6 ) . So , we get
X * ( 3x + 8y – 2 ) +8y * ( 3x + 8y – 2 ) – 2 * ( 3x + 8y – 2 )
= 3x>2 + 8xy -2x + 24xy + 64y>2 – 16y – 6x - 16y + 4
= 3x>2 + 32xy - 8x + 64y>2 – 32y + 4
In upcoming posts we will discuss about algebra calculator online and Area of a Triangle. Visit our website for information on chemistry syllabus for class 12 Maharashtra board
To multiply the polynomials (also read Dividing Polynomials), there may be a binomial or a trinomial or even a polynomial on one side & one of these on the other side as well. You can also play multiplying polynomials worksheet online to improve your skills.
We must remember that while multiplying the polynomials, we keep one of the polynomials intact & of the other polynomial, each of the term; as many as may be ; is multiplied by the polynomial which is intact turn by turn. Then each multiplication relation is opened using the distributive property. Thereafter, the like terms are combined & finally the product is obtained.
Let us try to understand it with the help of an example here .
Let the two polynomials to be multiplied be ( 3x + 8y – 2 ) and ( x – 2y + 6 )
We can keep any of the two polynomials intact, let us take ( 3x + 8y – 2 ) multiply it by each of the terms of the other polynomial , i.e. , ( x – 2y + 6 ) . So , we get
X * ( 3x + 8y – 2 ) +8y * ( 3x + 8y – 2 ) – 2 * ( 3x + 8y – 2 )
= 3x>2 + 8xy -2x + 24xy + 64y>2 – 16y – 6x - 16y + 4
= 3x>2 + 32xy - 8x + 64y>2 – 32y + 4
In upcoming posts we will discuss about algebra calculator online and Area of a Triangle. Visit our website for information on chemistry syllabus for class 12 Maharashtra board
Algebra is a major component of math that is used to unify mathematic concepts. Algebra is built on experiences with numbers and operations, along with geometry and data analysis. Some students think that algebra is like learning another language. This is true to a small extent, algebra is a simple language used to solve problems that can not be solved by numbers alone. It models real-world situations by using symbols, such as the letters x, y, and z to represent numbers.
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