Tawjihiya Bahrain (Secondary School Certificate) · Advanced Mathematics

Algebra and complex numbers

28 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 28 questions

What is the sum of the squares of the roots of $x^{2} - 3 x - 10 = 0$ ?
If $lo g_{2} x = 3$ and $lo g_{2} y = 2$ , what is $lo g_{2} (x y^{2})$ ?
What is the remainder when $2 x^{3} + 2 x^{2} + 5 x - 4$ is divided by (x - 1)?
What is the sum of the roots of $x^{2} - 6 x + 11 = 0$ ?
What is the modulus of the complex number $z = 3 + 4 i$ ?
What is the sum of the squares of the roots of $x^{2} - 3 x - 4 = 0$ ?
Solve $e^{x} = 2$ .
What is the sum of the roots of $3 x^{2} + 9 x + 4 = 0$ ?
If $z = 3 + 4 i$ , what is $z \overset{z}{ˉ}$ ?
What is the sum of the squares of the roots of $x^{2} - 5 x + 6 = 0$ ?
Solve $ln (x + 1) = 4$ .
What is the remainder when $2 x^{3} - 3 x^{2} - 2 x + 6$ is divided by (x - 3)?
What is the sum of the roots of $2 x^{2} - 8 x + 5 = 0$ ?
If $lo g_{2} x = 2$ and $lo g_{2} y = 3$ , what is $lo g_{2} (x y^{2})$ ?
What is the remainder when $x^{3} - 3 x^{2} - 2 x + 6$ is divided by (x - 3)?
What is the sum of the roots of $2 x^{2} + 10 x - 7 = 0$ ?
If $z = 6 + 8 i$ , what is $z \overset{z}{ˉ}$ ?
What is the sum of the squares of the roots of $x^{2} + 2 x - 8 = 0$ ?
If $lo g_{2} x = 3$ and $lo g_{2} y = 4$ , what is $lo g_{2} (x y^{2})$ ?
What is the remainder when $x^{3} - x^{2} + 3 x - 4$ is divided by (x + 1)?
If $z = 5 + 12 i$ , what is $z \overset{z}{ˉ}$ ?
Solve $e^{x} = 7$ .
What is the remainder when $2 x^{3} + 4 x^{2} + 5 x + 6$ is divided by (x - 1)?
What is the modulus of the complex number $z = 5 + 12 i$ ?
If $lo g_{2} x = 4$ and $lo g_{2} y = 2$ , what is $lo g_{2} (x y^{2})$ ?
What is the remainder when $2 x^{3} - x^{2} + 5 x + 2$ is divided by (x - 3)?
What is the sum of the squares of the roots of $x^{2} + 2 x - 3 = 0$ ?
What is the remainder when $x^{3} - x^{2} + 5 x - 4$ is divided by (x - 1)?

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