Finding Real Roots If (x-c) is a factor of the polynomial p(x), then c is a root of p(x).) A0 \. P: _1 d
We can find the real roots of polynomial p(x) by finding all the factors of p(x).
5 [- t1 z$ l5 y" O$ T1 J$ c H4 B Example:
: n* K: Y3 {! G. ?3 K p(x)=x2+3x+2=(x+1)(x+2). Two real roots of p(x) are -1 and -2.* m; k, r+ f' W- t4 T
Remember:
% m9 s/ y) J4 B8 h9 @& } To find if c is a root of p(x), evaluate p(c) and check if p(c)=0.
! q+ V* F$ o, _2 u' V5 W% P If x is a common factor of p(x), then zero is a root of p(x).
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