Answer

Verified

350.4k+ views

**Hint:**To divide an equation in algebraic expression we use a long division method. Firstly we write the polynomial in descending order then firstly we find a factor that satisfies the equation using hit and trial method. Then we will use that factor to divide the equation in algebraic expression.

**Complete step-by-step solution:**

To divide the equation in algebraic expression find a factor of that equation by hit and trial method and then divide the equation by that factor as follows:

1. Arrange the polynomial in descending order of both the Dividend and the divisor.

2. Divide the first term of the dividend by the first term of the divisor by finding a term which when multiplied by the first term of the divisor makes it equal to the first term of the dividend.

3. Multiply the number obtains in step 2 by the divisor and subtracts it by the dividend and brings the remaining term down.

4. Repeat step 2 and 3 till we get our remainder as zero or till we have taken all the terms down.

5. Multiply the quotient obtained and the factor we got from hit and trial method and get the equation in algebraic expression.

For example- Divide equation ${{x}^{2}}+5x+6$ in algebraic expression.

We have to divide the below equation:

${{x}^{2}}+5x+6$…..$\left( 1 \right)$

By using hit and trial method put $x=-2$ in equation (1)

$\begin{align}

& \Rightarrow {{\left( -2 \right)}^{2}}+5\times -2+6 \\

& \Rightarrow 4-10+6 \\

& \Rightarrow 0 \\

\end{align}$

So $\left( x+2 \right)$ is one of the factors now we will divide the equation (1) by $\left( x+2 \right)$ as below:

$x+2\overset{x+3}{\overline{\left){\begin{align}

& {{x}^{2}}+5x+6 \\

& \underline{{{x}^{2}}+2x} \\

& 0+3x+6 \\

& \underline{0+3x+6} \\

& 0+0+0 \\

\end{align}}\right.}}$

So we get the Quotient as $\left( x+3 \right)$

So we can divide equation ${{x}^{2}}+5x+6$ as an algebraic expression$\left( x+2 \right)\left( x+3 \right)$

Hence we have to divide the dividend that is our equation by a divisor that is one of the factors of the equation to divide the equation in algebraic expression

**Note:**Algebraic expression is an expression which is made up of variables and constant along with algebraic operations which are addition, subtraction, multiplication and division. Algebraic equation is the equation made up of variables and constant and is equal to 0.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Establish a relation between electric current and drift class 12 physics CBSE

Guru Purnima speech in English in 100 words class 7 english CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

Copper is not used as potentiometer wire because class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE