Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Please verify your account before proceeding.

In this lesson, we will learn how to perform long division on polynomials.

Q1:

Knowing that the volume of a box is 1 2 π₯ + 2 0 π₯ β 2 1 π₯ β 3 6 3 2 , its length is 2 π₯ + 3 , and its width is 3 π₯ β 4 , express the height of the box algebraically.

Q2:

Find the quotient of β 6 4 π₯ + 1 2 π₯ β 2 π₯ 4 2 divided by β 8 π₯ β 2 π₯ + 1 2 .

Q3:

Find the quotient when 6 π₯ + 1 1 π₯ β 4 3 π₯ β 4 0 π₯ 4 3 2 is divided by π₯ + π₯ β 8 2 .

Q4:

We want to factor 1 8 π₯ β 4 8 π₯ + 3 0 π₯ 4 2 into two factors. Given that one of these factors is 3 π₯ + 3 π₯ β 5 2 , what is the other?

Q5:

We want to factor 6 π₯ β 2 0 π₯ β 7 π₯ + 4 9 π₯ 4 3 2 into two factors. Given that one of these factors is 2 π₯ β 2 π₯ β 7 2 , what is the other?

Q6:

Evaluate π Γ· ( π π ) , given that π = 3 5 , π = β 5 , and π = β 7 .

Q7:

Karim spent 540 seconds jogging. Make a table to determine the algebraic expression that relates the number of seconds to that of minutes, given that there are 60 seconds in 1 minute. Then, determine how many minutes Karim spent jogging.

Donβt have an account? Sign Up