c= 1 is a zero of P(x) = x^3 - 14x^2 + 53x - 40
find all the zeros of P(x)
x1 =?
x2= ?
with x1
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find all the zeros of P(x)
x1 =?
x2= ?
with x1
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x^3 - 14x^2 + 53x - 40=0
(x-1)(x-5)(x-8)=0
x = 1, 5 and 8
(x-1)(x-5)(x-8)=0
x = 1, 5 and 8
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If x = 1 is a zero of P(x), then (x - 1) is a factor. You're supposed to do polynomial division to divide P(x) by (x - 1). Then you'll have a quadratic, which you can solve with factoring or the quadratic formula.
Obviously you've just had a unit on polynomial division, so apply the techniques you learned there.
Obviously you've just had a unit on polynomial division, so apply the techniques you learned there.
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x^3-14x^2+53x-40=(x-1)(x-5)(x-8)
x1=1
x2=5
x3=8
x1=1
x2=5
x3=8
1
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