Question

What is the quotient of 2x^4 – 9x^3 + 5x^2 + 11x + 3 when divided by x^2 – 2x – 1? *
2 points
B. 2x^2-5
Option 4
C. 2x^2-3
A. 2x^2-3x-5

pplease help me

Answer 1

Answer:

X = 2 + √3 and x = 2 - √3 are Zeros of p ( x )

( x - 2 - √3 ) ( x - 2 + √3 )

( using identity ( a - b ) ( a +b ) = a² - b²

then,

( x - 2 )² - ( √3 )²

x² + 4 - 4x - 3

x² + 1 - 4x .... ( i )

When we divide p ( x ) by ( i ) we get the other zeros

Other zeros are :- x = 1 and x = -1/2