1.

Write the product (x – 1) x (x + 1)Find the product of (x – 1),(x + 1),(x + 2) If the product is p(x)find p(1), (-1), p(-2) Write the solution of the equation p(x) = 0.

Answer»

(x – 1)x (x + 1) = x2 – 1 

(x – 1) (x + 1) (x + 2)=(x2 – 1) (x + 2) 

= x3 – x + 2x2 – 2 = x3 + 2x2 – x – 2 = 0 

p(x) = x + 2x – x – 2 = 0

p(1) =1 + 2 – 1 –  2 = 0 

p(–1) = – 1 + 2 + 1 – 2 = 0 

p(–2) = – 8 + 8 + 2 – 2 = 0 

1, – 1, – 2 are the solutions of the equation 

p(x) = 0.



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