  We report an analysis of the charmless hadronic decays of charged B meson to
the final state K+pi0pi0, using a data sample of 470+/-2.8 million BBbar events
collected at the Y(4S) resonance. We observe an excess of signal events, with a
significance above 10 standard deviations including systematic uncertainties,
and measure the branching fraction and CP asymmetry to be
B(B+->K+pi0pi0)=(16.2+/-1.2+/-1.5)x10^-6 and
A_CP(B+->K+pi0pi0)=-0.06+/-0.06+/-0.04, where the uncertainties are statistical
and systematic respectively. Additionally we study the contributions of the
B+->K*(892)+pi0, B+->f0(980)K+ and B+->chic0K+ quasi-two body decays. We report
the world's best measurements of the branching fractions and CP asymmetry of
the B+->K+pi0pi0 and B+->K*(892)+pi0 channels.
