Quadratic Equation

Quadratic Equations
Quiz

By: Siddarth Mohanraj and Advay Dubey 10-G

Introduction

Before the quiz starts we will be recapping some important topics . In this quiz the time limit will depend on type of question. For working out the sums you can use your notebook or a rough book.

Note: You may have to chose more than one answer in some questions

Important Concepts

(1) Standard Form of a Quadratic Equation: ax^2 + bx + c = 0
(2) It has two zeroes of the polynomial
(3) You can use splitting the middle term (factorisation) or the Quadratic Formula : x = [-b ± √(b² - 4ac)]/2a
(4) Using discriminant (b² - 4ac) you can find the nature of roots:
(a) If it’s greater than 0 then two distinct zeroes
(b) If it’s equal to 0 then two equal zeroes
(c) If it’s lesser than 0 then imaginary equation

Multiple Choice

Which of the following are quadratic equations:

• x^3 - 4x^2 - x + 1 = (x - 2)^3

• (x - 2)(x + 1) = (x - 1)(x + 3)

• x^5 + x^4 + x^2 = (x - 9)^3

• x^3 - x^0 = (x +1)(x + 2)

Multiple Select

Which of the following are quadratic equations:

• (x - 2)^2 + 1 = 2x - 3

• x(x + 1) + 8 = (x + 2)(x - 2)

• x(2x + 3) = x^2 + 1

• (x + 2)^3 = x^3 - 4

Multiple Choice

Which of the following are quadratic equations:

• 4x^2 - 2x + y = 0

• 6x^2 + 3x + 4 = 4x^3

• 5x^2 + 6 = 0

• None of the above

Multiple Select

Find the zeroes of the equation: 6x^2 - x - 2 = 0

• 3x - 2

• 2x + 1

• x + 3

• It is imaginary

Multiple Select

Find the zeroes of the quadrilateral: 3x^2 - 5x + 2 = 0

• 2/3

• 4/3

• 1

• It is imaginary

Multiple Choice

Find the roots of the quadratic equation: x^2 + 4x + 5 = 0

• 0

• 6/5

• 4/5

• It is imaginary

Multiple Choice

Find the value of k: 2x^2 + kx + 3 = 0

• k = +- 2 x root 6

• k = +- root 5

• k = +- 3/2

• k = 0

Multiple Choice

Find the value of k: kx(x - 2) + 6 = 0

• 5

• 6

• 0

• 2