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In this lesson, we will learn how to find the roots of cubic polynomials with integer coefficients.

Q1:

Find the set of zeros of the function π ( π₯ ) = 7 π₯ ( π₯ β 1 ) ( π₯ + 6 ) .

Q2:

Find the set of zeros of the function π ( π₯ ) = π₯ + 5 π₯ β 9 π₯ β 4 5 3 2 .

Q3:

Find the value of π , given the set π§ ( π ) = { β 2 } contains the zero of the function π ( π₯ ) = π₯ β π₯ + π 3 2 .

Q4:

Solve the equation ( 3 π₯ β 2 ) ( 5 π₯ + 2 ) ( 7 π₯ β 3 ) = 0 .

Q5:

Solve the equation ( π₯ β 2 ) ( π₯ + 2 ) ( π₯ β 3 ) = 0 .

Q6:

Determine the solution set of the equation οΉ π¦ β 7 2 ο = β 5 1 2 2 3 in β€ .

Q7:

Solve π₯ = 8 3 .

Q8:

Solve π₯ + 1 0 = 7 4 3 .

Q9:

Find the solution set of 8 1 π₯ = 1 2 1 π₯ 3 in β .

Q10:

Find the set of zeros of the function π ( π₯ ) = π₯ ( π₯ β 2 ) ( π₯ β 7 ) .

Q11:

Find the set of zeros of the function π ( π₯ ) = 3 π₯ + 9 π₯ 3 2 .

Q12:

Find the set of zeros of the function π ( π₯ ) = 7 π₯ β π₯ 3 2 .

Q13:

Find the set of zeros of the function π ( π₯ ) = 2 π₯ + 1 5 π₯ + 2 7 π₯ 3 2 .

Q14:

Find the set of zeros of the function π ( π₯ ) = π₯ β 4 π₯ β 9 π₯ + 3 6 3 2 .

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