If b is the largest zero of x^{3}-5x^{2}-x+5 then which

Prince Rasmussen 2022-02-05 Answered
If b is the largest zero of x35x2x+5 then which of the following quadratic equations is it also a zero of?
1) x23x10=0
2) x2+3x10=0
3) x23x+10=0
4) x2+3x+10=0
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Expert Answer

Utskoldendv3
Answered 2022-02-06 Author has 9 answers
First factor x35x2x+5 by grouping to find its zeros:
x35x2x+5
=(x35x2)(x5)
=x2(x5)1(x5)
=(x21)(x5)
=(x1)(x+1)(x5)
which has zeros: 1,1.5
So b=5
Substituting this value of b for x in 1), we find:
x23x10=52(35)10=251510=0
So the answer 1) x23x10=0

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