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**Q.1. If p(x) = x ^{2} – 2**√2

= 4 (2) – 4 (2) + 1 = 8 – 8 + 1 = 1

**Q.2. If a + b + c = 9, and ab + bc + ca = 26, find a ^{2 }+ b^{2} + c^{2}**

⇒ (9)

⇒ a

**Q.3. Factorise :****Sol. **

**Q.4. If a, b, c are all non-zero and a + b + c = 0, prove that ****Sol. **∵ a + b + c = 0 ⇒ a^{3} + b^{3} + c^{3} – 3abc = 0

or a^{3 }+ b^{3 }+ c^{3} = 3abc ⇒

**Q.5. Prove that (a + b + c) ^{3} – a^{3} – b^{3} – c^{3} = 3(a + b) (b + c) (c + a)**

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