Answer : The polynomial represents the area of the rectangle is, 4x² -2x - 6
Step-by-step explanation :
As we are given that:
Length of rectangle = 4x - 6
Width of rectangle = x + 1
Formula used:
Area of rectangle = Length × Width
Now putting all the given values in this formula, we get:
Area of rectangle = (4x - 6) × (x + 1)
Area of rectangle = 4x² + 4x - 6x - 6
Area of rectangle = 4x² -2x - 6
Hence, the polynomial represents the area of the rectangle is, 4x² -2x - 6