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Factorising trinomials

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Intros
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Lessons
  1. Use "cross-multiply, then check" method to factor a trinomial
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Examples
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Lessons
  1. Factor:
    1. b2−b−20{b^2} - b - 20
    2. x2−10x+16{x^2} - 10x + 16
    3. 2x3−14x2+24x2{x^3} - 14{x^2} + 24x
    4. 14+5y−y214 + 5y - {y^2}
  2. Factor:
    1. 2x2+25x+122{x^2} + 25x + 12
    2. 5x2+8x+35{x^2} + 8x + 3
    3. 8x2+10x−38{x^2} + 10x - 3
    4. 6m2−13m−86{m^2} - 13m - 8
    5. 18x2−9x+118{x^2} - 9x + 1
    6. 63+20z−3z263 + 20z - 3{z^2}
    7. 8x2+8x−68{x^2} + 8x - 6
  3. Factor:
    1. 8x2+xy−9y28{x^2} + xy - 9{y^2}
    2. 6x2+17xy−3y26{x^2} + 17xy - 3{y^2}
    3. 14x2−4xy+16y2\frac{1}{4}{x^2} - 4xy + 16{y^2}
  4. Factor:
    1. 8x2y2−xy−98{x^2}{y^2} - xy - 9
    2. 25sin⁡2x−35sin⁡x+1225{\sin ^2}x - 35\sin x + 12
    3. 12cos⁡2x−20cos⁡x+312{\cos ^2}x - 20\cos x + 3
    4. 6(x+5)2+17(x+5)−36{\left( {x + 5} \right)^2} + 17\left( {x + 5} \right) - 3
    5. 15(x−3)2−11(x−3)−1415{\left( {x - 3} \right)^2} - 11\left( {x - 3} \right) - 14
  5. Factor:
    1. x6−17x3+30{x^6} - 17{x^3} + 30
    2. a4−2a2−63{a^4} - 2{a^2} - 63
    3. 15x4−16x2−1515{x^4} - 16{x^2} - 15
    4. 8x4−14x2+38{x^4} - 14{x^2} + 3