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Finding Factors and Roots of Polynomials Exercises

Finding Factors and Roots of Polynomials Exercises

Example 1

Find all roots of P(x) = (x – 3)(x + 3)(x – 1).

Example 2

Write a polynomial with roots of -5, 5, and 1.

Example 3

Find all the roots of x3 + 6x2x – 6.

Example 4

Find all the roots of x3x2 – 49x + 49.

Example 5

Find all the roots of x3 – 8x2 – 4x + 32.

Example 6

Find all the roots of x3 + x2 – 100x – 100.

Example 7

Find all the roots of x4 – 13x2 + 36.