Question

show that(x-√2) is a factor of 7x²-2√8x-6

Answer 1

x-√2=0

x= √2

put x=√2

7x²-2√8x-6

7(√2)² -2√8×√2-6

7 ×2 -2√16-6

14-2×4-6

14-8-6

6 -6 =0

Hence (x-√2) is a zero of the given polynomial.