Question

area of rectangle is given by the polynomial expression x ^3- 2 x ^2 - 6 X + 12 and length is given by x - 2 find the width of the triangle
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Answer 1

Step-by-step explanation:

Area of rectangle =x³-2x²-6x+12

Length=x-2

Factorise the given polynomial

ie..,x³-2x²-6x+12

x²(x-2)-6(x-2)

(x-2)(x²-6)

Or x-2=0

x=2

substitute 'X' value in given polynomial and do synthetic division then also we get answer as x²-6

therefore the width of rectangle is x²-6....