with a real zero of 0.2, does the graph touch or cross at the at the x-intercept
it touches if it is a second degree polynomial
by second degree u mean raised to power 2
yup because all second degree polynomials must have 2 zeros if it only has one then that zero is repeated meaning it will just touch and not cross
f(x)= (x-1/5)^2 (x-9)^3 thats the equation and the question is a) list the multiplicity and real zeros b) state for each one whether it crosses or touches the graph at the x-intercept
that makes it a bit complicated the real zero of x=0.2 is the same as x= 1/5 so for the part of the equation that this zero relates to is the (x-1/5)^2 so there will be a zero which is repeated twice at x=0.2 so the graph will touch
thanks but those it touch or cross at the the real zero of x=9
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