Multiply polynomials by horizontal method. — lesson. Mathematics State Board, Class 9.

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Follow the steps to multiply the polynomials in the horizontal method:

First, write the \(2\) polynomials in a row separated by using a multiplication sign.
Multiply each term of the first polynomial with each term of the second polynomial.
In this, the product is obtained by combining and adding the like terms.

Example:

We learn how to multiply two binomials \(a + 5\) by \(a + 7\) using a horizontal method.

Consider the polynomials \(a + 5\) and \(a + 7\).

Separate the two polynomials using a multiplication sign.

= (a + 5) \times (a + 7)

Multiply each term of the first polynomial with each term of the second polynomial.

= a \times (a + 7) + 5 \times (a + 7)

= a \times a + a \times 7 + 5 \times a + 5 \times 7

Combine the like term.

= a^{2} + 7 a + 5 a + 35

= a^{2} + 12 a + 35

Therefore, the multiplication of the given polynomials is

a^{2} + 12 a + 35

Did you find an error?

7. Multiply polynomials by horizontal method.