Problem

Simplify the polynomial 7x45x2+3x2x4+4x22x and find its leading coefficient.

Answer

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Answer

Step 3: The leading coefficient of the simplified polynomial is the coefficient of the term with the highest degree, which is 5 in this case.

Steps

Step 1 :Step 1: Combine like terms, which means add together the coefficients of the same degree of x. So, 7x42x4,5x2+4x2, and 3x2x

Step 2 :Step 2: After combining like terms, the polynomial becomes 5x4x2+x

Step 3 :Step 3: The leading coefficient of the simplified polynomial is the coefficient of the term with the highest degree, which is 5 in this case.

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