Question

Show that (x+3) is a factor of p(x) = 69+11x-x^2+x^3.

Answer 1

Hii Mate Here is Your Answer,

To Prove : x+3 is a factor of p(x) = 69+11x-x^2+x^3

We can easily prove it by using Factor Theorem.


x+3 is factor means its a zero of p(x) that means

x+3 = 0
x = -3

Substitute the value of X= -3 in p(x)

69+11x - x^2 + x^3

》 69 + 11 × -3 - (-3)^2 + (-3)^3

》 69 -33 -9 - 27

》 69-69

》 0

As the value is equals to 0 it is proved that
x+3 is a factor of p(x).

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