multiply the polynomial by the monomial using the distributive property and or the product rule of exponents (2)(2x^2-2x+3)
To multiply the polynomial (2x^2 - 2x + 3) by the monomial 2, we will distribute the 2 to each term inside the parentheses:
2 * 2x^2 + 2 * (-2x) + 2 * 3
This simplifies to:
4x^2 - 4x + 6