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Some quadratics are to be solved by factorising

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Factorise \$\\simplify{{a[0]*c[0]}x^2+{a[0]*d[0]+b[0]*c[0]}x+ {b[0]*d[0]}}\$. [[0]]

\n

Hence solve \$\\simplify{{a[0]*c[0]}x^2+{a[0]*d[0]+b[0]*c[0]}x+ {b[0]*d[0]}}=0\$.

\n

[[1]]

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Factorise \$\\simplify{{a[1]*c[1]}x^2+{a[1]*d[1]+b[1]*c[1]}x+ {b[1]*d[1]}}\$. [[0]]

\n

Hence solve \$\\simplify{{a[1]*c[1]}x^2+{a[1]*d[1]+b[1]*c[1]}x+ {b[1]*d[1]}}=0\$.

\n

[[1]]

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See 3.3 and 3.5 for factorising. See 4.1 and 4.2 for how to use factorising to solve quadratics.

", "type": "question", "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}, {"name": "John Wick", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3326/"}]}]}], "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}, {"name": "John Wick", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3326/"}]}