Algebra Review Sheet Template Page 2

Find a quadratic equation with integral coefficients and with the roots of 4

A given polynomial function has roots of 2, and 5 ± i. Based on this information, describe the

graph of this polynomial function.

Find a cubic equation with integral coefficients and with roots 3 and 5 + i.

10)

If x = 3 is a root of 2x

– 5x

– 4x + 3 = 0, find the remaining roots.

11)

The polynomial p(x) = 5x

– 3x + 2 is not factorable. List all the possible rational roots to this

quartic function. You do NOT have to solve the function.

Solve the following equations by factoring. Give all real and imaginary roots.

12)

– 3x

+ 4x – 12 = 0

13)

+ 3x

– 10

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