Question

X^4-13x^2+36 =

a. (x - 2)2(x - 3)2
b. (x2 + 4)(x 2 + 9)
C. (x - 2)(x + 2)(x - 3)(x + 3)
d. (x2 - 4)(x 2 + 9)

Answer 1

answer C

Explanation:

hello,

`x^4-13x^2+36=(x^2-4)(x^2-9)`

as the sum of the zeroes are 13 and their product 36

4 + 9 = 13

4 * 9 = 36

and then we can write

`(x^2-4)=(x-2)(x+2)\\(x^2-9)=(x-3)(x+3)`

so

`x^4-13x^2+36=(x^2-4)(x^2-9) = (x-2)(x+2)(x-3)(x+3)`

hope this helps