How to do vanishing factor
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Explanation:
Use the factor theorem: r is a root of polynomial p if and only if x−r is a factor of p. Since 7 is a solution of x3−67x+126=0, 7 is a root of x3−67x+126 so x−7 divides x3−67x+126. You may use polynomial long division to factor out x−7, leaving a quadratic polynomial that you can factor in standard ways.
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Use the factors theorem : r is a root of polynomial p if and only if x-r is a face of p. since 7 is a solution of x3-67x+126 =0 , 7is a root of x3-67x+126 so x-7 division x3-67x+126 . you may use polynomial long division to factory out x-7 , leaving a quadratic polynomial that you can factors in standard way........
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