Quadratic Equation Mastery
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Questions and Answers

Which of the following is an example of a quadratic equation?

  • $4x - 2 = 0$
  • $3x^2 + 2x - 1 = 0$ (correct)
  • $2x + 3 = 1$
  • $2x + 2 = 1$

How many solutions does a quadratic equation have?

  • At most one
  • At most two (correct)
  • Exactly one
  • Exactly two

In which situations can a quadratic equation have only one solution or no solutions?

  • Always
  • Only when the coefficient of the quadratic term is zero
  • Never
  • Only when the constant term is zero (correct)

How do we solve quadratic equations?

<p>By factorisation (D)</p> Signup and view all the answers

What is the equivalent factorised form of the equation $2x^2 - x - 3 = 0$?

<p>$(x + 1)(2x - 3) = 0$ (A)</p> Signup and view all the answers

Flashcards

What is a quadratic equation?

An equation where the highest power of the variable is 2. It has the form ax^2 + bx + c = 0, where a, b, and c are constants.

How many solutions can a quadratic equation have?

A quadratic equation can have at most two distinct solutions.

How do we solve a quadratic equation?

Factoring a quadratic equation involves expressing it as a product of two linear factors. Each factor represents a solution to the equation, where the factor is set equal to zero.

What is the factorised form of 2x^2 - x - 3 = 0?

The factorised form of the equation is (x+1)(2x-3) = 0. This form indicates that the equation has two solutions: x=-1 and x=3/2.

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What is factoring a quadratic equation?

The act of expressing a quadratic equation as a product of two linear expressions, each representing a solution to the equation.

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