Identify expression: Identify the expression to be multiplied.We are multiplying −x by each term in the polynomial −5x2+3x−4.
Distribute across terms: Distribute −x across the terms in the polynomial. Multiply −x by −5x2, then by 3x, and finally by −4.
Perform multiplication for each term: Perform the multiplication for each term.−x×−5x2=5x3 (Multiplying two negatives gives a positive, and x times x2 is x3)−x×3x=−3x2 (Multiplying a negative by a positive gives a negative, and x times x is x2)−x×−4=4x (Multiplying two negatives gives a positive)
Combine results: Combine the results to get the final expression.The product is 5x3−3x2+4x.
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