3. the graph of a function F crosses the xaxis at 1 and 3 and touches the xaxis at 5. which equations could define this function select all that apply
a f(x)= (x+1)(x3)(x5)
b f(x)= (x+1)(x3)(x5)^2
c f(x)= (x+1)^4(x3)^2(x5)^5
d f(x)= (x+1)^7(x3)^3(x5)^4
4. which polynomial functions have exactly one positive real zero select all that apply
a f(x)= 7x^45x^34x+1
b f(x)= 3x^410x^3x7
c f(x)= x^5+4x^32x^23x+7
d f(x)= 2x^5+8x^2+4x+1
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2 answers

3. B and D  f(x)=(x+1)(x3)(x5)^5 and f(x)=(x+1)^7(x3)^3(x5)^4
4. B and C  f(x)=3x^410x^3x7 and f(x)=x^5+4x^32x^23x+7
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answered by honors student 
#3.B because of the double root
#4. Because of the one real root, the degree must be odd. So, A and B are out.
By Descartes' Rule of Signs,
A has at most 2 positive and 0 negative roots
Now apply the Rule to C and D 👍
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answered by oobleck
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