Correct option is C
Given:
Length of the rectangle = 6p2−5p+2
Breadth of the rectangle = p-2
Formula Used:
Area of Rectangle =Length×Breadth
Solution:
Multiply the given polynomials to find the area:
Area=(6p2−5p+2)(p−2)
Distribute each term of the first polynomial into the second polynomial:
Area=6p2(p−2)−5p(p−2)+2(p−2)
Expand the terms:
Area=(6p3−12p2)−(5p2−10p)+(2p−4)
Combine the like terms:
Area=6p3−12p2−5p2+10p+2p−4Area=6p3−17p2+12p−4
This represents the area of the rectangle.
Final Answer
So the correct answer is (c)