Saved Bookmarks
| 1. |
Obtain all zeroes if f (x)=2x^4-3x^3-3x+6x-2 if two zeroes are root 2 and -root 2 |
|
Answer» -step explanation:The given polynomial isf(x)=2x⁴-3x³-3x²+6x-2The given zeroes are√2 and -√2So x+√2 and x-√2 are the factors of f(x)So (x-√2)(x+√2)=x²-2 is a FACTOR of f(x).Now ,2x⁴-3x³-3x²+6x-2=2x⁴-4x²-3x³+6x+x²-2=2x²(x²-2)-3X(x²-2)+1(x²-2)=(x²-2)(2x²-3x+1)Now factorising2x²-3x+1=2x²-2x-x+1=2x(x-1)-1(x-1)=(x-1)(2x-1)now (x-1)(2x-1)=0=> x-1=0 or 2x-1=0=> x=1 or x=1/2Thus the other two zeroes are 1 and1/2.Hope you GOT it. |
|