Standard Representation - Examples, Exercises and Solutions

Find the standard representation of the following function

$f(x)=(x-2)(x+5)$

$f(x)+x^2+3x-10$

Create an algebraic expression based on the following parameters:

$a=3,b=6,c=9$

$3x^2+6x+9$

Create an algebraic expression based on the following parameters:

$a=\frac{1}{2},b=\frac{1}{2},c=\frac{1}{2}$

$\frac{x^2}{2}+\frac{x}{2}+\frac{1}{2}$

Create an algebraic expression based on the following parameters:

$a=2,b=\frac{1}{2},c=4$

$2x^2+\frac{1}{2}x+4$

Create an algebraic expression based on the following parameters:

$a=2,b=2,c=2$

$2x^2+2x+2$

Choose the correct algebraic expression based on the parameters:

$a=-3,b=3,c=7$

$-3x^2+3x+7$

Create an algebraic expression based on the following parameters:

$a=4,b=2,c=5$

$4x^2+2x+5$

Create an algebraic expression based on the following parameters:

$a=4,b=-16,c=0$

$4x^2-16x$

Create an algebraic expression based on the following parameters:

$a=-1,b=-1,c=-1$

$-x^2-x-1$

Create an algebraic expression based on the following parameters:

$a=2,b=0,c=4$

$2x^2+4$

Create an algebraic expression based on the following parameters:

$a=4,b=-2,c=16$

$4x^2-2x+16$

Find the appropriate representation based on the parameters

$a=-3,b=4,c=-15$

$-3x^2+4x-15$

Create an algebraic expression based on the following parameters:

$a=3,b=0,c=-3$

$3x^2-3$

Create an algebraic expression based on the following parameters:

$a=0,b=1,c=0$

$x$

Create an algebraic expression based on the following parameters:

$a=1,b=-1,c=1$

$x^2-x+1$