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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.
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