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In this lesson, we will learn how to use zeros to write a polynomial function of the least degree with integral coefficients.

Q1:

Find, in its simplest form, the quadratic equation whose roots are β 3 and β 8 .

Q2:

Find, in its simplest form, the quadratic equation whose roots are β 1 4 π and 1 4 π .

Q3:

Find, in its simplest form, the quadratic equation whose roots are β 4 + 5 π and β 4 β 5 π .

Q4:

Which quadratic equation has roots π₯ = 2 Β± π ?

Q5:

Find, in its simplest form, the quadratic equation whose roots are 7 2 and 2 7 .

Q6:

Find, in its simplest form, the quadratic equation whose roots are 5 + β 2 and 5 β β 2 .

Q7:

Find, in its simplest form, the quadratic equation whose roots are β 2 β 5 + 3 and β 2 β 5 β 3 .

Q8:

Find, in its simplest form, the quadratic equation whose roots are 2 + 3 β 7 π and 2 β 3 β 7 π .

Q9:

Find, in its simplest form, the quadratic equation whose roots are 2 + 2 π β 1 + π and 2 + 4 π 2 β π .

Q10:

Find, in its simplest form, the quadratic equation whose roots are 2 and 8.

Q11:

Find, in its simplest form, the quadratic equation whose roots are 9 β 1 2 π and 9 + 1 2 π .

Q12:

Find, in its simplest form, the quadratic equation whose roots are 1 2 π and β 1 2 π .

Q13:

Find, in its simplest form, the quadratic equation whose roots are 1 + β 5 and 1 β β 5 .

Q14:

Find, in its simplest form, the quadratic equation whose roots are 2 β 2 + 6 and 2 β 2 β 6 .

Q15:

Find, in its simplest form, the quadratic equation whose roots are 6 7 and 7 6 .

Q16:

Find, in its simplest form, the quadratic equation whose roots are β 3 5 and β 5 3 .

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