- a: The expression representing the area of the rectangle is given as,
(4x + 5)(3x + 10) or 12x² + 55x +50
- b: The degree of the computed expression is 2 and it is classified as a quadratic expression.
- c: The polynomial expression written in part a is closed under addition multiplication.
Forming the Expression for the Area of Rectangle
The formula for the area of a rectangle is given as,
Area, A = length × breadth
Here, the dimensions of the rectangle are given as,
length = (4x + 5)
breadth = (3x + 10)
∴ The equation for the area of the rectangle is,
A = (4x + 5)(3x + 10)
A = 12x² + 55x +50
Hence, 12x² + 55x +50 is the required expression.
Degree and Classification of the Expression
The highest power of a variable that is present in an expression is known as its degree.
Since the degree of the expression formed in part a is 2, it is classified to be a quadratic expression.
Closure Property For Polynomials
When the output is the same kind of object as the inputs, an expression is said to be closed. The expression obtained for the area of the rectangle is a combination of constants and variables closed under multiplication and addition.
Hence the expression formed in part a indicates at the closure property for polynomials.
Learn more about an expression here:
brainly.com/question/14083225
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