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Mathematics

1 answer:

Ray Of Light [21]3 years ago

8 0

Continuous and the best graph would be a line graph

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What is the value of the leading coefficient a, if the polynomial function P(x) = a(x + b)2(x − c) has a multiplicity of 2 at th

kirill115 [55]

If the polynomial function $P(x) = a(x + b)^2(x-c)$ has a multiplicity of 2 at the point (−1, 0) then the factor (x-(-1))=(x+1) twice enters the polynomial representation. So, you have known one part of the left side of the polynomial function that is $P(x) = a(x + 1)^2(x-c)$ .

If polynomial function passes through the point (7,0), then $0 = a(7+ 1)^2(7-c)$ and since $a\neq 0$ you have that c=7.

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Answer: a=2.

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