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:

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

$-x^2-x-1$

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:

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

$x^2-x+1$

Create an algebraic expression based on the following parameters:

$a=-1,b=-8,c=0$

$-x^2-8x$

Create an algebraic expression based on the following parameters:

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

$3x^2$

Create an algebraic expression based on the following parameters:

$a=2,b=4,c=8$

$2x^2+4x+8$

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:

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

$4x^2-16x$

Create an algebraic expression based on the following parameters:

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

$-x^2+x$

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:

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

$-x^2$

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:

$a=2,b=0,c=6$

$2x^2+6$

Create an algebraic expression based on the following parameters:

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

$2x^2+4$