£^n r^3 = n^2 (n+1)^2/4 prove by mathematical induction

At the county fair, the baxter family bought 6 hot dogs and 4 juice drinks for $12.90. the farley family bought 3 hot dogs and 4 juice drinks for $8.55. find the price of a hot dog and the price of a juice drink.

Prove that (x-2)is factor of p (x)=2x³-3x²-17x+30

Factor the polynomial. b^2 + 4b + 4