Question

Find if x-5 is a factor of x3+5x2-9x-1

Answer 1

QUESTION:

Find if x-5 is a factor of x3+5x2-9x-1

Find the value of the polynomial (complete question )

ANSWER:

As (x-5) is a factor of given polynomial then

$x - 5 = 0 \\ x = 5$

we put the value of x in given polynomial to find the value.

$p(5) = {5}^{3} + 5 {5}^{2} - 9 \times 5 - 1 \\ p(5) = 125 + 125 - 45 - 1 \\ p(5) = 250 - 46 \\ p(5) = 204$

FINAL ANSWER :

$p(5) = 204$

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Answer 2

Step-by-step explanation:

f(x-5)=x3+5x2-9x-1

x-5=0

x=5

5^3+5*5^2-9*5-1

125+125-45-1

=204is not equal to 0

hence x-5 is not a factor

hope this helps you

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