Consider the expression4x2+x+3. Complete 2 descriptions of the parts of the expression.1. The entire expression is a sum with □.2. The coefficients are □.
Q. Consider the expression4x2+x+3. Complete 2 descriptions of the parts of the expression.1. The entire expression is a sum with □.2. The coefficients are □.
Polynomial Standard Form: The expression 4x2+x+3 is a polynomial in standard form. The standard form of a polynomial is when the terms are ordered from the highest degree to the lowest degree. In this case, the term with the highest degree is 4x2, followed by x, and then the constant term 3.
Sum of Terms: The entire expression is a sum of three terms: 4x2, x, and 3. Each term is added together to form the polynomial.
Coefficients Explanation: The coefficients in a polynomial are the numerical factors that multiply the variable terms. In the expression 4x2+x+3, the coefficient of the term 4x2 is 4, the coefficient of the term x is 1 (since any number multiplied by 1 is itself, the coefficient is implied), and the constant term 3 can also be considered a coefficient, specifically of the term 0x or x0.
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