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In this lesson, we will learn how to factor quadratic expressions and work with algebraic fractions containing linear, quadratic, or cubic expressions.

Q1:

Which of the following functions are equal?

Q2:

Simplify the function π ( π₯ ) = π₯ + 7 π₯ 6 π₯ + 2 5 π₯ + 4 Γ· 6 π₯ β π₯ 3 6 π₯ β 1 2 2 2 2 .

Q3:

Simplify the function π ( π₯ ) = 9 π₯ + 7 2 π₯ + 1 Γ· 9 π₯ + 7 2 5 π₯ + 5 .

Q4:

Simplify the function π ( π₯ ) = π₯ + 4 π₯ β 1 2 π₯ β 3 6 Γ· 5 π₯ β 1 0 π₯ β 1 2 π₯ + 3 6 2 2 2 .

Q5:

Q6:

Given that 8 π¦ π¦ + 2 π¦ β 9 π¦ π¦ + 2 π¦ = β 2 2 3 2 2 , find the value of π¦ .

Q7:

Simplify the function π ( π₯ ) = 5 π₯ + 1 5 π₯ + 5 Γ· 6 π₯ + 1 8 4 π₯ + 2 0 .

Q8:

Simplify the function π ( π₯ ) = π₯ β 1 3 π₯ + 4 0 π₯ β 6 4 Γ· 9 π₯ β 4 5 π₯ + 1 6 π₯ + 6 4 2 2 2 .

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