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Aug 19, 2013



Jul 10, 2013



Aug 5, 2013

#### Sir, I have a doubt regarding this question, kindly tell me whether the answer for the question given below is correct? Q) x3 - 3x2 - 9x - 5 Ans) p(x) = x3 - 3x2 - 9x - 5 Factors of 5 = 1,5,-1,-5 p(1) = 13 - 3 x (1)2  - 9 x (1) - 5        = 1 -3 - 9 - 5         = 1 - 17 = - 16 ≠ 0 p(-1) = (-1)3 x 3 x (-1)2 - 9 x (-1) -5         = -1 - 3 + 9 - 5 = -9 + 9 = 0 p(-1) =0 ∴ (x+1) is a factor of p(x)     p(x) ÷ (x+1)     x3 - 3x2 - 9x - 5 ÷ x + 1     = x2 - 4x - 5 x2 - 4x - 5 x2 - 5x + 1x - 5  = x ( x - 5) + 1 ( x - 5) = ( x - 5) ( x + 1)



Yes you have done it correctly

Aug 23, 2013



Consider, a

Aug 19, 2013

#### Factorise: x4 +x2 +1



Consider x4 + x2 + 1
= (x4 + 2x2 + 1) – x2
&...

Jul 26, 2013

#### If x + y + z = 8 and xy + yz + zx = 20 find the value of x3 + y3 + z3 - 3xyz.



Given x + y + z = 8 and xy + yz + zx = 20
Consider, x + y + z = 8
Squaring on both sides, we get
(x + y + z)2 = 82
x2 + y2 + z2 +2(xy + yz +zx) = 64
...

Aug 27, 2013



Aug 31, 2013

#### If a+b+c=0, then find the value of a2/bc+b2/ca+c2/ab and this time please explain it properly because last time I could not understand.



Given a + b + c = 0

Jul 22, 2013



Given a = 2 + √3