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Multiplying polynomials means using the distributive property to make sure every term in the first polynomial multiplies every term in the second polynomial. For the expression: (7x − 3)(x^2 − 2x 7) Step 1: Multiply 7x by every term in the second polynomial. 7x * x^2 = 7x^3 7x * (−2x) = −14x^2 7x * 7 = 49x Step 2: Multiply −3 by every term in the second polynomial. −3 * x^2 = −3x^2 −3 * (−2x) = 6x −3 * 7 = −21 Step 3: Combine all terms and then combine like terms. 7x^3 − 14x^2 49x − 3x^2 6x − 21
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