Quadratics from Factorised Form (Year 11)
Free printable UK Year 11 (GCSE Foundation) maths worksheet: deduce the roots of a quadratic algebraically from its factorised form, and find where its graph crosses the y-axis.
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Grade 10 · Math worksheet
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Quadratics from Factorised Form
Deduce the roots of each quadratic algebraically: a product of factors equals zero exactly when one of the factors is zero. For y-intercepts, substitute x = 0.
- 1.Solve (x + 6)(x + 1) = 0
- 2.Solve (x - 3)(x - 5) = 0
- 3.Solve (x + 3)(x - 3) = 0
- 4.Solve (x + 2)(x + 1) = 0
- 5.Solve (x + 2)(x - 5) = 0
- 6.Solve (x + 5)(x - 2) = 0
- 7.Write down the coordinates of the point where the graph of y = (x + 6)(x + 1) crosses the y-axis.
- 8.Write down the coordinates of the point where the graph of y = (x + 3)(x + 1) crosses the y-axis.
- 9.Write down the coordinates of the point where the graph of y = (x + 5)(x - 4) crosses the y-axis.
- 10.Write down the coordinates of the point where the graph of y = (x - 5)(x - 6) crosses the y-axis.
- 11.Factorise - 3x - 4 and hence solve - 3x - 4 = 0
- 12.Factorise + 2x - 3 and hence solve + 2x - 3 = 0
- 13.Factorise + 2x - 15 and hence solve + 2x - 15 = 0
- 14.Factorise - 2x - 24 and hence solve - 2x - 24 = 0
- 15.Factorise + 6x + 8 and hence solve + 6x + 8 = 0
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