Question

give the possible Expressions for the length and breadth of rectangle with area is 2x²+7x+3 sq. units.​

Answer 1

Step-by-step explanation:

sorry for this I don't now

Answer 2

Given,

• Area of the rectangle = 2x²+7x+3 sq. units

To find,

We have to find the possible expressions for the length and breadth of a rectangle with an area of 2x²+7x+3 sq. units.​

Solution,

We can simply find the possible expressions for the length and breadth of the rectangle by factorizing the given quadratic polynomial.

As we know that the area of rectangle = length * breadth

Let us factorize the given quadratic polynomial by splitting the middle term.

                       2x²+7x+3

                       2x² + 6x +x +3

 Taking 2x common from the first two terms and 1 common from the last two terms, we get

                       2x(x+3) +1(x+3)

Now, taking (x+3) common, we get

                         (x+3)(2x+1)

So,   2x²+7x+3  = (x+3)(2x+1)

Hence, the possible expressions for the length and breadth of the rectangle with area  2x²+7x+3 sq. units.​ is (x+3)(2x+1).