Using the remainder theorem, find the remainder, when p(x) is divided by g(x), where p(x) = x3
- 6x2
+ 9x + 3, g(x) = x + 1
2. The perimeter of an equilateral triangle is 60 cm. Find its (i) area and (ii) height. (Given, √3 = 1.732.)
3. Find the volume and surface area of a sphere of radius 21 cm.
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Answer:
1. p(x) =x³-6x²+9x+3
g(x) =x+1
x=-1
=(-1) ³-6(-1) ²+9(-1) +3
=-1-6-9+3
=-13=remainder
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