Subjects algebra

Polynomial Degree E5Ec9B

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1. **Problem statement:** Find the algebraic degree of the polynomial $4s^2 + s + 3 = s$. 2. **Step 1:** Rewrite the equation to standard polynomial form: $$4s^2 + s + 3 = s \implies 4s^2 + s + 3 - s = 0$$ 3. **Step 2:** Simplify the equation: $$4s^2 + \cancel{s} + 3 - \cancel{s} = 0 \implies 4s^2 + 3 = 0$$ 4. **Step 3:** The polynomial is now $4s^2 + 3 = 0$. The degree of a polynomial is the highest power of the variable $s$ with a nonzero coefficient. 5. **Step 4:** Here, the highest power of $s$ is 2 (from $4s^2$), so the degree is 2. **Final answer:** The degree of the polynomial is **second degree**. This corresponds to choice (ب) الثانية.