Forming Quadratic Equations when Given Roots (Leaving Cert Mathematics): Quizzes

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Forming Quadratic Equations when Given Roots
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If (−3−2i)(-3-2i) is a root of a quadratic, what is the other root?

(−3+2i)(-3+2i)

In the formula z2−Sz+P=0z^2-Sz+P=0, what does SS represent?

The sum of the roots

In the formula z2−Sz+P=0z^2-Sz+P=0, what does PP represent?

The product of the roots

What formula forms a quadratic from its roots?

z2−Sz+P=0z^2-Sz+P=0

What is SS if the roots are −2+5i-2+5i and −2−5i-2-5i?

−4-4

What is PP if the roots are −2+5i-2+5i and −2−5i-2-5i?

2929

If (4−3i)(4-3i) is a root with real coefficients, what is the other root?

(4+3i)(4+3i)

What condition must hold for the conjugate root theorem to apply?

All coefficients must be real

Given root −2+5i-2+5i, what is the quadratic equation?

z2+4z+29=0z^2+4z+29=0

What is (−2+5i)(−2−5i)(-2+5i)(-2-5i) after expanding?

4−25i24-25i^2

Explore Leaving Cert Mathematics Revision Notes by Topics

Fundamentals of Complex Numbers

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Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

Explore Leaving Cert Mathematics Flashcards by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

Explore Leaving Cert Mathematics Exam Questions by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

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