Question

(b) (x - y)3 + (y – z)3 + (z – x)3
7. If p(x) = x2 - 4x + 3, evaluate p(2) – p(-1) + p).
8. Find the zeroes of the polynomial p(x) = (x - 2)2 - (x + 2)2.
9. By Remainder Theorem find the remainder, when p(x) is divided by g(x
= x3 - 2x2 - 4x – 1, g(x)= x + 1.
10. Factorise: 2x3 - 3x2 – 17x + 30
11. If a + b + c = 9 and ab+ bc + ca = 26 find a² + b2 + c2.
12. If a,b,c are all non-zero and a + b + c = 0, prove that --+-3.
13. Prove that (a + b + c)3 - a3 - b3 - c3 = 3(a + b)(b + c)(c + a).
14. Plot the following points and write the name of the figure obtained by
in order:
P(-3,2), Q (-7, - 3), R (6,- 3), S (2,2)
15. Three vertices of a rectangle are (3,2), (-4, 2) and
(-4,5). Plot these points and find the coordinates of the fourth vertex
Note: Complete the Maths Lab work as discussed in the class.​

Answer 1

Answer:

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