Question

split the middle term of x square + 2 root 2 x minus 6

Answer 1

Question:

x² + 2√2x - 6

factorization using splitting of middle term : In this method splitting of middle term in to two factors

using middle split term;

x² + 2√2x - 6

Sum of roots = 2√2

Product of roots = -6

x² + 3√2x - √2x - 6  =0

x [ x + 3√2 ] - √2 [ x+ 3√2]

[ x - √2 ] [ x+ 3√2]  =0

x = √2  or,  

x = -3√2

Hence the zeros of the polynomial are = √2 and -3√2

Answer 2

x2 +2x-6

x2+3root2x- root2x-6

x(x+3root2)-root2(x+3root2)

(x+3root2) (x-root2)