Quadratics from Factorised Form (Year 10)
Free printable UK Year 10 (GCSE Foundation) maths worksheet: deduce the roots of a quadratic algebraically from its factorised form, and find where its graph crosses the y-axis.
✓ Answer key checked by math, never wrong
Grade 9 · Math worksheet
Name
Date
Math
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 - 2)(x - 6) = 0
- 2.Solve (x - 1)(x - 2) = 0
- 3.Solve (x - 4)(x - 5) = 0
- 4.Solve (x + 5)(x + 4) = 0
- 5.Solve (x + 2)(x - 2) = 0
- 6.Solve (x + 4)(x - 6) = 0
- 7.Write down the coordinates of the point where the graph of y = (x + 3)(x - 3) crosses the y-axis.
- 8.Write down the coordinates of the point where the graph of y = (x + 2)(x + 1) crosses the y-axis.
- 9.Write down the coordinates of the point where the graph of y = (x - 2)(x - 6) crosses the y-axis.
- 10.Write down the coordinates of the point where the graph of y = (x + 4)(x - 3) crosses the y-axis.
- 11.Factorise - 9x + 18 and hence solve - 9x + 18 = 0
- 12.Factorise + 2x - 15 and hence solve + 2x - 15 = 0
- 13.Factorise - 2x - 8 and hence solve - 2x - 8 = 0
- 14.Factorise + x - 2 and hence solve + x - 2 = 0
- 15.Factorise + 9x + 18 and hence solve + 9x + 18 = 0
Made with ChalkBee · chalkbee.com