Class XI

Factorising and Expanding Complex Numbers

Lesson

Practice

Interactive practice questions

Expand and simplify $9i\left(x+7i\right)$9i(x+7i), leaving your answer in terms of $i$i.

Easy

< 1min

Complete the factorisation by filling in the empty box.

Easy

1min

Expand and simplify $\left(7+2i\right)\left(7-2i\right)$(7+2i)(7−2i).

Easy

< 1min

Expand and simplify $\left(x+9iy\right)\left(x-9iy\right)$(x+9iy)(x−9iy).

Easy

1min

Outcomes

11.A.CNQE.1

Need for complex numbers, especially √-1, to be motivated by inability to solve every quadratic equation. Brief description of algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system.

Factorising and Expanding Complex Numbers

Interactive practice questions

Outcomes

11.A.CNQE.1

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