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Please help do not give me answers on the internet

Please help do not give me answers on the internet-example-1
User Qingfeng
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1 Answer

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Given:

The measures of the sides of the rectangle are (2x+7) and (5x+9).

Aim:

We need to find the area of the given rectangle.

Step-by-step explanation:

A)

Let the length of the rectangle, l=2x+7.

Let the width of the rectangle, w =5x+9.

Consider the formula to find the area of the rectangle.


A=l* w

Substitute l=2x+7 and w =5x+9 in the formula.


A=(2x+7)*(5x+9)

Multiply (2x+7) and (5x+9) as follows.


A=2x*(5x+9)+7*(5x+9)


A=(2x*5x)+(2x*9)+(7*5x)+(7*9)


A=10x^2+18x+35x+63


A=10x^2+53x+63

Answer:


\text{ The area of the rectangle is }10x^2+53x+63.

B)


10x^2+53x+63

Here variable is x and the highest power of the variable x is 2.

We know that the highest power of the variable is degree.


degree\text{ =2.}

This expression contains three terms.

We know that an algebraic expression containing three terms is trinomial.


10x^2+53x+63\text{ is trinomial.}

Answer:


degree\text{ =2.}
10x^2+53x+63\text{ is trinomial.}

C)

Consider the polynomials (2x+7) and (5x+9).


\text{ The multiplication of \lparen2x+7\rparen and \lparen5x+9\rparen is }10x^2+53x+63.


10x^2+53x+63\text{ is a polynomial with degree 2.}

The multiplication of the polynomial is polynomial,

It gives the closure property of the polynomials by multiplication.

User Husin Wijaya
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