Question

1.Find the zeroes of the given polynomials. P[x] =x²+5x+6 2.Find the hcf of 96 and 72 by using Euclid division lemma 3. Check whether - 2and 2 are zeros of the polynomial of x⁴—16 4.prove that v³+v5 is an irrational 5.if x²+y²=6xy prove that 2 log [x+y] =log x +log y + 3log²

Answer 1

1)x2 +5x+6
=> x2+ (2+3) x+6=0
=>x2+ 2x+3x+6=0
=>x(x+2)+3(x+2)=0
=>(x+3)(x+2)=0
=>x+3=0 or x+2=0
=>x=-3or x=-2
let zeroes of the polynomial be α and β
α+β=-b/a
(-3)+(-2)= -5/1
-5 =-5

αβ=c/a
(-3)*(-2)=6/1
6=6