Answer the following questions related to multiplication of algebraic expressions.

MATHEMATICS · Multi-part · AoPS · Mathematics · x Marks the Spot · x Marks the Spot

Problem

Answer the following questions related to multiplication of algebraic expressions. (i) State the distributive property of multiplication over addition for algebraic expressions. (ii) Multiply 4x24x^{2} with the polynomial 3x3−2x+53x^{3}-2x+5 and simplify the result. (iii) Write the simplified polynomial obtained in part (ii) in descending powers of xx and state its degree.

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