Question

If the area of rectangular floor of your class room is given by a polynomial

p(x) = 2x2-3x -2, then find the length and the breadth of the floor in form of polynomials.

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Answer 1

Thanks for question!!

Polynomial:- An expression of variables and coefficient connected with mathematical operations having degree is called polynomial ex:-

$2 {x}^{2} + 4x + 3$

Types of polynomials on the basis of degree.

1) Constant polynomial degree 0.

2) quadratic polynomial degree 2.

3) Cubic polynomial degree 3.

4) Bi quadratic polynomial degree 4.

Given:-

$p(x) = 2 {x}^{2} - 3x - 2$

By Middle spilitng term..

$2 {x}^{2} - 4 x + x - 2$

$2x(x - 2) + 1(x - 2)$

$(2x + 1)(x - 2)$

hence ,the length and breadth is given in form of polynomial by

$l = (2x + 1)$

$b = (x - 2)$

Is required length and breadth in form of polynomial.