Final answer:
To find the product of (2x²+5x-1) and (x-3) written in standard form, we multiply each term of the first expression with each term of the second expression using the distributive property, and then combine like terms.
Step-by-step explanation:
To find the product of (2x²+5x-1) and (x-3) written in standard form, we use the distributive property and then combine like terms.
Multiplying (2x²+5x-1) by x, we get 2x³+5x²-x. Multiplying (2x²+5x-1) by -3, we get -6x²-15x+3.
Combining like terms, we add the coefficients of x³, x², and x, which gives us the final result of 2x³-x²-10x+3. Therefore, the product of (2x²+5x-1) and (x-3) written in standard form is 2x³-x²-10x+3.