As an ex-bankrupt, can I get a joint mortgage with my partner?

I was made bankrupt in 2010 and discharged less than a year later. Since then I've opened a bank account, have a debit and credit card and have never missed any payments. Next year I start a job as a full-time school teacher and my partner (who hasn't any adverse credit history) is employed full-time although on minimum wage.
What are the chances of us getting a mortgage and would we be able to use the government's Help To Buy Scheme?

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