Answer:
If (x - 4) is a factor of x3 - 2x2 - 11x + 12, then P[4) should be equal to
= 4√
Step-by-step explanation: ↓↓↓
3.2 The Factor Theorem and The Remainder Theorem 257
3.2 The Factor Theorem and The Remainder Theorem
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Suppose we wish to find the zeros of f(x) = x
3 + 4x
2 − 5x − 14. Setting f(x) = 0 results in the
polynomial equation x
3 + 4x
2 − 5x − 14 = 0. Despite all of the factoring techniques we learned1
in Intermediate Algebra, this equation foils2 us at every turn. If we graph f using the graphing
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x
2 + 6x + 7
x−2 x
3 + 4x
2 − 5x − 14−x3 −2x
26x2 − 5x−6x2 −12x)7x − 14
− (7x −14)
