Pre- Calc Test Review Help -Suppose p(x) is a polynomial with real coefficients that breaks through the x-axis at −65,?
bounces off the x-axis at −4, and bounces off the x-axis at 30.
If p(−6+3i)=p(−7−9i)=0.
What is the smallest possible degree that p(x) could have?
If p(x) has no other roots than those described above, could the degree of p(x) be 35?
Thank you.
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p(x) is a polynomial with real coefficients --->
through the x-axis at −65-->degree 1
p(−6+3i)=p(−7−9i)=0 =p(−6-3i)=p(−7+9i) --->degree 4
bounces off the x-axis at −4 -->degree 2
bounces off the x-axis at 30 -->degree 2
so the degree of p(x) is 9