Finding Rational Zeros
December 04, 2015
Rational Zero Theorem:
If the polynomial P(x) = anxn + an-1xn-1 + ... + a1x + a0 has integer
coefficients, then every rational zero of P is in the form
where p is a factor of the constant coefficient a0
and
q is a factor of the leading coefficient an
Given P(x) = 2x3 + x2 - 13x + 6
Find all possible rational zeros
Find the zeros and write in factored form
p
q
Finding Rational Zeros
December 04, 2015
Find all possible rational zeros, find the rational zeros and write in
factored form.
P(x) = x4 - 5x3 - 5x2 + 23x + 10
Finding Rational Zeros
December 04, 2015
Homework
Page 333 - 334
2 - 6, 12 - 20, 28 - 34 evens
Starting at #12: find all possible rational zeros, find
all rational zeros and write in fully factored form.