Finding Real Roots If (x-c) is a factor of the polynomial p(x), then c is a root of p(x).. `+ w2 j2 ]/ l8 Y4 b6 E" y( ]
We can find the real roots of polynomial p(x) by finding all the factors of p(x).# c6 k I6 `& P! j" F
Example:. q$ X+ l* d/ F/ {
p(x)=x2+3x+2=(x+1)(x+2). Two real roots of p(x) are -1 and -2.' j8 `% d' v# n) G8 T$ Z
Remember:% T o2 C2 ~. q, Y6 O( Q- u
To find if c is a root of p(x), evaluate p(c) and check if p(c)=0.
: J2 @4 L$ u) R! J" X U N If x is a common factor of p(x), then zero is a root of p(x).+ j7 h4 b/ d/ n% H3 j+ k
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