Rational Zero Theorem |
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If a polynomial equation has integer coefficients, then any rational zero must be in the form of where p is a factor of the constant term, and q is a factor of the leading coefficient. |
Find the rational zeros of:
Figure 1. |
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First, we determine the factors of the leading coefficient and the constant:
Figure 2. |
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Next, we perform synthetic division using each p/q term is the divisor. Any row that has no remainder is a 0 for this function.
Figure 3. |
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The value of the function is 0 when x = -3, x = 1/2, and x = 1.