The graphs of $y = p(x)$ are given in Fig. below, for some polynomials $p(x)$. Find the number of zeroes of $p(x)$, in each case
1. Prove that $3 + 2 \sqrt{5}$ is irrational
2. Prove that $\sqrt{5}$ is irrational
4. Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.
5. Check whether 6n can end with the digit 0 for any natural number n.
6. Given that HCF (306, 657) = 9, find LCM (306, 657)
9. Express each number as a product of its prime factors: 140, 156, 3825, 5005, 7429