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In this lesson, we will learn how to divide polynomials by monomials.

Q1:

Find the quotient of 2 1 π π 7 π π 6 .

Q2:

Simplify β 4 3 π₯ + 1 2 π₯ β 6 π₯ π₯ ο ο© ο¨ .

Q3:

Find the quotient of 2 6 π π β 9 π π π π 7 5 3 5 2 .

Q4:

Simplify 2 3 π₯ π¦ + 4 9 π₯ π¦ + 4 1 π₯ π¦ β π₯ π¦ 5 3 4 3 3 3 .

Q5:

Simplify 1 4 4 π₯ + 1 6 8 π₯ + 8 4 π₯ 1 2 π₯ + 3 π₯ + 1 9 π₯ + 1 8 2 0 1 7 1 2 1 2 8 5 .

Q6:

What is the height of a cuboid whose volume is οΉ 1 7 π₯ β 6 π₯ π¦ ο 4 2 cm^{3} and whose base is a square of side π₯ cm?

Q7:

Simplify 1 2 π οΉ 1 1 π π β 1 2 π π ο 2 π π 5 1 3 1 3 5 1 3 7 2 .

Q8:

Given that 17 tennis balls of radius π c m can fit into a box whose dimensions are 2 π c m , 2 π c m , and 5 1 π c m , what is the ratio between the volume of the balls and the volume of the box?

Q9:

What is the length of a rectangle whose area is οΉ 7 π₯ π¦ + 2 4 π₯ π¦ + 1 6 π₯ π¦ ο 7 6 3 6 2 6 cm^{2} and whose width is π₯ π¦ cm?

Q10:

The area of a triangle is οΉ 1 2 π₯ + 4 π₯ ο 2 cm^{2}, and its base is 4 π₯ m. Write an expression for its height.

Q11:

The area of the shaded region in the figure below is οΉ 3 π₯ π¦ + 1 0 π₯ π¦ ο ο¨ ο¨ cm^{2}. By considering the areas of the rectangles π΄ π΅ πΆ π· and π πΈ π πΉ , find the length of πΉ π .

Q12:

Expand and simplify οΌ 2 π 3 β 7 π ο οΌ 5 π 3 β 8 π ο .

Q13:

Expand and simplify ( 4 π₯ + π¦ ) 3 .

Q14:

Find the quotient of β 1 6 π π 2 π π 6 7 .

Q15:

What is the length of a rectangle whose area is οΉ 2 1 π₯ π¦ + 2 3 π₯ π¦ + 2 0 π₯ π¦ ο 6 6 4 6 3 6 cm^{2} and whose width is π₯ π¦ cm?

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