Answer:
14x⁸ - 12x⁶ + 16x⁴
Explanation:
To find the required polynomial, multiply 2x² and the quotient.
Multiply each term of (7x⁶ - 6x⁴ + 8x²) by 2x².
2x² * 7x⁶ = (2*7) *x²⁺⁶ = 14x⁸
Required polynomial =2x² *(7x⁶ - 6x⁴ + 8x²)
= (2x²*7x⁶) - (2x²*6x⁴) + (2x²*8x²)
= 14x⁸ - 12x⁶ + 16x⁴