SOLUTION: The degree 3 polynomial f(x) with real coefficients and leading coeffecient 1, has 4 and 3+i among it's roots. Express f(x) as a product of linear and quadratic polynomials with r

Question 82592This question is from textbook
: The degree 3 polynomial f(x) with real coefficients and leading coeffecient 1, has 4 and 3+i among it's roots. Express f(x) as a product of linear and quadratic polynomials with real coeffecients. This question is from textbook

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
degree 3 means 3 roots ... complex roots come in conjugate pairs (a+bi, a-bi) ... if a is a root, then x-a is a factor

so, f(x)=(x-4)(x-(3+i))(x-(3-i)) ... or
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