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In this lesson, we will learn how to divide polynomials by linear divisors whose results have remainders in them.

Q1:

Find the remainder when 4 π₯ + 4 π₯ + 3 2 is divided by 2 π₯ β 3 .

Q2:

Find the remainder π ( π₯ ) and the quotient π ( π₯ ) when 3 π₯ + 2 π₯ β 3 π₯ β 5 3 2 is divided by π₯ + 4 .

Q3:

Find the remainder π ( π₯ ) , and the quotient π ( π₯ ) when 2 π₯ + 3 π₯ β 5 π₯ β 5 4 3 is divided by 2 π₯ β 1 .

Q4:

Write 3 π₯ + 4 π₯ + 5 π₯ + 1 0 π₯ + 5 3 2 in the form of π ( π₯ ) + π ( π₯ ) π ( π₯ ) .

Q5:

Find the remainder when 3 π₯ β 2 π₯ + 4 π₯ + 5 3 2 is divided by 3 π₯ + 4 .

Q6:

Write 2 π₯ β 2 π₯ β 5 π₯ + 3 4 2 in the form π ( π₯ ) + π ( π₯ ) π ( π₯ ) .

Q7:

Given that π₯ + 4 π₯ β 2 π₯ β 3 = π₯ + 7 2 with a remainder of 19, rewrite π₯ + 4 π₯ β 2 2 in the form ( π₯ β π ) Γ π ( π₯ ) + π ( π ) .

Q8:

Find the remainder when 5 π₯ + 2 π₯ β 8 2 is divided by π₯ β 2 .

Q9:

Find the remainder when 2 π₯ + 3 π₯ + 2 2 is divided by π₯ + 1 .

Q10:

Write 3 π₯ + 4 π₯ + 1 3 π₯ + 2 3 2 in the form π ( π₯ ) + π ( π₯ ) π ( π₯ ) .

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