Wize High School Grade 9 Math Textbook > Polynomial Expressions

Simplifying Polynomial Expressions Practice Questions

Practice: Simplifying Polynomial Expressions

Expand and simplify the following:

a) 3x(x2x+1)+x(4x)3x(x^2-x+1)+x(4-x)

b) 12(45y213)25(12y2)\dfrac{1}{2}\left(\dfrac{4}{5}y-2 \dfrac{1}{3}\right)-\dfrac{2}{5}\left(\dfrac{1}{2}-\dfrac{y}{2}\right)

Practice: Simplifying Polynomial Expressions

Simplify 2x(4x+3x2)y(y+2y21)2x(4-x+3x^2)-y(y+2y^2-1) and evaluate the expression when x=1x=1 and y=2y=-2.

Practice: Simplifying Polynomial Expressions

A gardening company is designing a new backyard and has created the following blueprint.

a) Create an expression representing the area of the pool.

b) Create an expression representing the area of the patio.

c) Create an expression representing the area of the field.

d) Create an expression representing the area of the entire backyard.

e) Find the area of the entire backyard when x=2x=2