Question

plz answer this question fast its very imp. Question 13

Answer 1

Answer:

fourth zero is 1.

Step-by-step explanation:

p(x) = x⁴- x³ - 3x² + 3x

given zeroes: 0, √3, -√3

(x-0)(x-√3)(x+√3)

x(x²- 3)

x³- 3x

divide p(x) by x³ - 3x (by long division method)

(x⁴- x³- 3x² + 3x)/ (x³+ 0 -3x + 0)

= (x-1)

⇒x= 1

∴ the fourth zero is 1.

please ask for if any doubts.