Question

if a polynomial p(x) is divisible by (x-2) and 4 is a zero of p(x) , write a factor of p(x) of degree 2

Answer 1

Given that (x - 2) is a factor of p(x) and 4 is a zero of p(x).

So, the zeroes are (x - 2) and (x - 4).

= > p(x) = (x - 2)(x - 4)

= > p(x) = x^2 - 4x - 2x + 8

= > p(x) = x^2 - 6x + 8.

Therefore, the equation is x^2 - 6x + 8 with degree 2.

Hope this helps!

Answer 2

Step-by-step explanation:

Given that (x - 2) is a factor of p(x) and 4 is a zero of p(x).

So, the zeroes are (x - 2) and (x-4).

=> p(x) = (x - 2)(x - 4)

=> p(x) = x^2 - 4x - 2x + 8

=> p(x) = x^2 - 6x + 8.

Therefore, the equation is x^2 - 6x + 8 with degree 2.