INTRODUCTION TO QUADRATIC EQUATIONS

Which of the following best describes a quadratic equation?

• A quadratic equation is an equation with a degree of 1.

• A quadratic equation is an equation with a degree of 2.

• A quadratic equation is an equation with a degree of 3.

• A quadratic equation is an equation with a degree of 4.

In the equation $ax^{2\ }+bx\ +\ c\ =\ 0$ , a must not be equal to ____

• 0

• 1

• -1

• 1/2

Which of the following is a quadratic equation?

• $3x\ -\ 7\ =\ 14$

• $5t^{3\ }-\ 2t^{2\ }+\ t\ -10\ =\ 0$

• $m^{2\ }-5m\ +\ 6\ =\ 0$

• $\frac{x}{2}+\frac{y}{3}=\ 1$

The values of a, b and c in the quadratic equation $ax^{2\ }+bx\ +\ c\ =\ 0$ must be in the set of _________. 

• Complex Numbers

• Integers

• Rational Numbers

• Real Numbers

In the equation $x^{2\ }+\ x\ -\ 6\ =0$ , the value of a is ___. 

• 0

• 1

• -1

• cannot be determined

In the quadratic equation $2x^{2\ }+11x-40=0$  , the value of b is _______.

• 2

• 11

• 40

• -40

A quadratic equation is said to be in its standard form if the equation is written on __________

• $ax\ +\ by\ =\ c$

• $ax^{3\ }+\ bx^{2\ }+cx\ +\ d\ =\ 0$

• $ax^{2\ }+\ bx\ +\ c\ =\ 0$

• $ax^{2\ }+\ bx\ =\ c$

In the equation $x^{2\ }-36\ =0$ , the value of b is ______. 

• cannot be determined

• 1

• -1

• 0

Which of the following mathematical concept/s can be used to get the values of a, b and c of the equation $\left(x-5\right)\left(x+1\right)=0$ ?

• PEMDAS

• FOIL Method

• Neither of PEMDAS or FOIL Method

• Both PEMDAS and FOIL Method

In the given equation $\left(2x-5\right)\left(3x+9\right)=0$ , find the value of b.

• 3

• -3

• 33

• -33