Target Mathematics
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Course

  • Add Math 0606
  • FPM 4PM1

FPM 4PM1 topics

  • 1. Surds and Logarithmic Functions42
  • 2. The Quadratic Function34
  • 3. Inequalities and Identities14
  • 4. Sketching Polynomials15
  • 5. Sequences and Series31
  • 6. The Binomial Series15
  • 7. Scalar and Vector Quantities22
  • 8. Rectangular Cartesian Coordinates29
  • 9. Differentiation69
  • 10. Integration29
  • 11. Trigonometry67

Study tools

  • FPM 4PM1 overview
Further Pure Mathematics 4PM1 / The Quadratic Function / 1.16

1.16: Show that for all values of , the equation has distinct real roots

4PM1/2R/June/2023 — Question 1 · 4 marks

·
f(x)=2x2+(k+8)x+kf(x) = 2x^2 + (k + 8)x + kf(x)=2x2+(k+8)x+k
Show that for all values of k\displaystyle kk, the equation f(x)=0\displaystyle f(x) = 0f(x)=0 has distinct real roots.
(4)
← 1.20: 4PM1/2/November/2023 — Question 101.17: 4PM1/2R/June/2023 — Question 6 →
Target Mathematics · Topic questions and official mark schemes