Which submarine was the first Royal Navy vessel designed to carry the Polaris missile?

HMS Resolution was the first Royal Navy submarine designed to carry the Polaris missile.

HMS Resolution was the lead boat of the Resolution class, the United Kingdom’s first ballistic-missile submarine class. It was commissioned in 1968 and carried 16 Polaris A3 submarine-launched ballistic missiles. The class formed Britain’s strategic nuclear deterrent during the Cold War.

Resolution and its sister submarines were based on an American missile system, while their nuclear propulsion and submarine construction were British. Polaris missiles could be launched from underwater, giving the submarines a survivable second-strike capability.

The name HMS Resolution has belonged to several Royal Navy ships, so it can be confused with earlier surface vessels bearing the same name. In this context, the answer refers specifically to the Resolution-class ballistic-missile submarine, not a battleship or sailing ship.