Factorising Monic Quadratics Practice
Improve your factorising skills with monic quadratics through intelligent practice. Expand and factorise expressions in different forms, solve equations, and practice finding solutions. Engage in silent teacher narration, sum to product rules, and learn to factorise two numbers efficiently.
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Factorising Factorising Monic Monic Quadratics Quadratics Silent Teacher Intelligent Practice Your Turn Narration Expanded form Sum to Product is Two numbers 1 & 2 2 & 2 Factorised form Solutions ?2+ 3? + 2 = 0 ?2+ 4? + 4 = 0 3 4 2 4 ? + 1 ? + 2 = 0 ? + 2 ? + 2 = 0 ? = 2,???????? ? = 1,? = 2 Practice
Expanded form Sum to Product is Two numbers 1 & 2 Factorised form Solutions ?2+ 3? + 2 = 0 ?2+ 4? + 4 = 0 3 2 ? + 1 ? + 2 = 0 ? = 1,? = 2 4 4 2 & 2 ? + 2 ? + 2 = 0 ? = 2,???????? ?2+ 5? + 6 = 0 5 6 2 & 3 ? + 2 ? + 3 = 0 ?2+ 10? + 24 = 0 ?2+ 6? + 9 = 0 10 24 4 & 6 6 9 ?2+ 12? + 36 = 0 ?2+ 2? 3 = 0 ?2 2? 3 = 0 12 2 ?2 2? + 3 = 0 ?2 5? + 6 = 0 ?2 ? 6 = 0 ?2+ ? 6 = 0 ?2 4? + 4 = 0 1 4 4 ? 4 ? 4 = 0 ? = 4,???????? ? = 8,???????? ?2 4 = 0 0 4 ? = 3,???????? ?2 12? + 36 = 0 ? = 3 ?2 2? + 1 = 0 ?2 1 = 0
Expanded form ?2+ 3? + 2 = 0 ?2+ 4? + 4 = 0 Sum to 3 4 Product is 2 4 Two numbers 1 & 2 2 & 2 Factorised form ? + 1 ? + 2 = 0 ? + 2 ? + 2 = 0 Solutions ? = 1,? = 2 ? = 2,???????? ?2+ 5? + 6 = 0 5 6 2 & 3 ? + 2 ? + 3 = 0 ? = 2,? = 3 ?2+ 10? + 24 = 0 ?2+ 6? + 9 = 0 10 6 24 9 4 & 6 3 & 3 ? + 4 ? + 6 = 0 ? + 3 ? + 3 = 0 ? = 4,? = 6 ? = 3,???????? ?2+ 12? + 36 = 0 ?2+ 2? 3 = 0 12 2 36 3 6 & 6 1 & 3 ? + 6 ? + 6 = 0 ? 1 ? + 3 = 0 ? = 6,???????? ? = 1,? = 3 ?2 2? 3 = 0 2 3 1 & 3 ? + 1 ? 3 = 0 ? = 1,? = 3 ?2 2? + 3 = 0 2 3 1 & 3 ? 1 ? 3 = 0 ? = 1,? = 3 ?2 5? + 6 = 0 5 6 2 & 3 ? 2 ? 3 = 0 ? = 2,? = 3 ?2 ? 6 = 0 1 6 2 & 3 ? + 2 ? 3 = 0 ? = 2,? = 3 ?2+ ? 6 = 0 1 6 2 & 3 ? 2 ? + 3 = 0 ? = 2,? = 3 ?2 4? + 4 = 0 4 4 2 & 2 ? 2 ? 2 = 0 ? = 2,???????? ?2 8? + 16 = 0 ?2 16? + 64 = 0 ?2 4 = 0 8 16 0 16 64 4 2 & 2 2 & 2 2 & 2 ? 4 ? 4 = 0 ? 8 ? 8 = 0 ? + 2 ? 2 = 0 ? = 4,???????? ? = 8,???????? ? = 2 ?2 6? + 9 = 0 6 9 3 & 3 ? 3 ? 3 = 0 ? = 3,???????? ?2 12? + 36 = 0 ?2 9 = 0 12 0 36 9 6 & 6 3 & 3 ? 6 ? 6 = 0 ? + 3 ? 3 = 0 ? = 6,???????? ? = 3 ?2 2? + 1 = 0 2 1 1 & 1 ? 1 ? 1 = 0 ? = 1,???????? ?2 1 = 0 0 1 1 & 1 ? + 1 ? 1 = 0 ? = 1
Expanded form Sum to Product is Two numbers 1 & 2 Factorised form Solutions ?2+ 3? + 2 = 0 3 2 ? + 1 ? + 2 = 0 ? = 1,? = 2 ?2+ 4? + 4 = 0 4 4 2 & 2 ? + 2 ? + 2 = 0 ? = 2,???????? ?2+ 5? + 6 = 0 5 6 2 & 3 ? + 2 ? + 3 = 0 ?2+ 10? + 24 = 0 10 24 4 & 6 ?2+ 6? + 9 = 0 6 9 ?2+ 12? + 36 = 0 12 ?2+ 2? 3 = 0 ?2 2? 3 = 0 2 ?2 2? + 3 = 0 ?2 5? + 6 = 0 ?2 ? 6 = 0 1 ?2+ ? 6 = 0 ?2 4? + 4 = 0 4 4 ? 4 ? 4 = 0 ? = 4,????????
Expanded form Sum to Product is Two numbers Factorised form Solutions ? 4 ? 4 = 0 ? = 4,???????? ? = 8,???????? ?2 4 = 0 0 4 ? = 3,???????? ?2 12? + 36 = 0 ? = 3 ?2 2? + 1 = 0 ?2 1 = 0 @dare_richard
Expanded form Sum to Product is Two numbers 1 & 2 Factorised form Solutions ?2+ 3? + 2 = 0 3 2 ? + 1 ? + 2 = 0 ? = 1,? = 2 ?2+ 4? + 4 = 0 4 4 2 & 2 ? + 2 ? + 2 = 0 ? = 2,???????? ?2+ 5? + 6 = 0 5 6 2 & 3 ? + 2 ? + 3 = 0 ? = 2,? = 3 ?2+ 10? + 24 = 0 10 24 4 & 6 ? + 4 ? + 6 = 0 ? = 4,? = 6 ?2+ 6? + 9 = 0 6 9 3 & 3 ? + 3 ? + 3 = 0 ? = 3,???????? ?2+ 12? + 36 = 0 12 36 6 & 6 ? + 6 ? + 6 = 0 ? = 6,???????? ?2+ 2? 3 = 0 2 3 1 & 3 ? 1 ? + 3 = 0 ? = 1,? = 3 ?2 2? 3 = 0 2 3 1 & 3 ? + 1 ? 3 = 0 ? = 1,? = 3 ?2 2? + 3 = 0 2 3 1 & 3 ? 1 ? 3 = 0 ? = 1,? = 3 ?2 5? + 6 = 0 5 6 2 & 3 ? 2 ? 3 = 0 ? = 2,? = 3 ?2 ? 6 = 0 1 6 2 & 3 ? + 2 ? 3 = 0 ? = 2,? = 3 ?2+ ? 6 = 0 1 6 2 & 3 ? 2 ? + 3 = 0 ? = 2,? = 3 ?2 4? + 4 = 0 4 4 2 & 2 ? 2 ? 2 = 0 ? = 2,???????? 2 8 16 2 & 2 4 4 0 4 ???????? 8? + 16 0
Expanded form Sum to Product is Two numbers 2 & 2 Factorised form Solutions ?2 8? + 16 = 0 8 16 ? 4 ? 4 = 0 ? = 4,???????? ?2 16? + 64 = 0 16 64 2 & 2 ? 8 ? 8 = 0 ? = 8,???????? ?2 4 = 0 0 4 2 & 2 ? + 2 ? 2 = 0 ? = 2 ?2 6? + 9 = 0 6 9 3 & 3 ? 3 ? 3 = 0 ? = 3,???????? ?2 12? + 36 = 0 12 36 6 & 6 ? 6 ? 6 = 0 ? = 6,???????? ?2 9 = 0 0 9 3 & 3 ? + 3 ? 3 = 0 ? = 3 ?2 2? + 1 = 0 2 1 1 & 1 ? 1 ? 1 = 0 ? = 1,???????? ?2 1 = 0 0 1 1 & 1 ? + 1 ? 1 = 0 ? = 1 @dare_richard
Expanded form Sum to Product Two numbers Factorised form Solutions is ?2+ ? + 15 = 0 ? + 3 ? + = 0 ?2+ 9? + = 0 ? + ? + 5 = 0 ?2+ ? + 10 = 0 ? = 2,? = ?2+ 10? + = 0 ? + 2 ? 5 = 0 ?2 7? + = 0 ? = 2,? = 5 ?2 ? + 40 = 0 ? = 4,? = 10 ?2+ 0.7? + 0.1 = 0 ? = 0.4,? = 0.5 0 25 ?2+ ? + 3 ? + 3a = 0 ?2+ (1 ?)? ? = 0 ? + 3 3? ? = ?,? =
Expanded form Sum to Product is Two numbers 3 & 5 Factorised form Solutions ?2+ 8? + 15 = 0 8 15 ? + 3 ? + 5 = 0 ? = 3,? = 5 ?2+ 9? + 20 = 0 9 20 4 & 5 ? + 4 ? + 5 = 0 ? = 4,? = 5 ?2+ 7? + 10 = 0 7 10 2 & 5 ? + 2 ? + 5 = 0 ? = 2,? = 5 ?2 3? 10 = 0 3 10 2 & 5 ? + 2 ? 5 = 0 ? = 2,? = 5 ?2 7? + 10 = 0 7 10 2 & 5 ? 2 ? 5 = 0 ? = 2,? = 5 ?2 14? + 40 = 0 14 40 4 & 10 ? 4 ? 10 = 0 ? = 4,? = 10 ?2+ 0.7? + 0.1 = 0 0.7 0.1 0.2 & 0.5 ? + 0.2 ? + 0.5 = 0 ? + 0.4 ? + 0.5 = 0 ? + 5 ? 5 = 0 ? = 0.2,? = 0.5 ? = 0.4,? = 0.5 ? = 5 ?2+ 0.9? + 0.2 = 0 0.9 0.2 0.4 & 0.5 ?2 25 = 0 0 25 5 & 5 ?2+ ? + 3 ? + 3a = 0 ?2+ (1 ?)? ? = 0 ? + 3 3? ? & 3 ? + ? ? + 3 = 0 ? = ?,? = 3 1 ? ? 1 & ? ? + 1 ? ? = 0 ? = 1,? = ? ?2+ ( ? )? + ? = 0 ? ? ? & ? ? ? = 0 @dare_richard ? = ?,? =
