Illustrate Quadratic Equation - Helium

An equation in one variable that is a mathematical sentence of degree 2 that can be written in the standard form  $ax^2+bx+c=0,$ where a, b, and c are real numbers and  $a\ne0.$  

• Cubic Equation

• Linear Equation

• Quadratic Equation

• Quartic Equation

Which of the following equations are quadratic?

• $3m+8=15$

• $12-4x=0$

• $\frac{1}{2}\left(h-6\right)=0$

• $25-r^2=4r$

Which of the following quadratic equations written in standard form?

• $x^2-5x+10=0$

• $2t^2-7t=12$

• $6-2x+3x^2=0$

• $25-r^2=4r$

What is the standard form of  $\left(x+3\right)\left(x-4\right)=0?$  

•  $x^2+x-12=0$  

•  $x^2-x-12=0$  

•  $x^2-7x-12=0$  

•  $x^2+7x-12=0$  

What is the value of  $a$   in the given quadratic equation  $12-7t=3t^2?$  

•  $12$  

•  $-7$  

•  $3$  

•  $2$  

What is the value of  $b$  in the quadratic equation  $\left(x+2\right)^2=0?$  

•  $0$  

•  $1$  

•  $2$  

•  $4$  

What is the value of  $c$  in the quadratic equation  $3m^2+7m+8=15?$  

•  $3$  

•  $7$  

•  $-7$  

•  $8$  

In  $x^2-5x+8=0,$  what is the constant term?

•  $x^2$  

•  $-5x$  

•  $8$  

•  $0$  

 In the quadratic equation $3x^2-6x-10=0,$  $3x^2$  is the ___________________ ?

• constant term

• linear term

• quadratic term

• coefficient

In the given quadratic equation $$\left(x+7\right)\left(x-7\right)=-3x,$$what is the linear term? 

•  $x^2$  

•  $3x$  

•  $7$  

•  $-49$