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Activity 2: Finding the Number of Roots of Polynomial Equations Some polynomial equations are given below. Complete the table and answer the questions that follow. (If a root occurs twice, count it twice; if thrice, count it three times, and so on. The first one is done for you) Real Roots of Number of Polynomial Equation Degree an Equation Real Roots 1. $\left(x+1\right)^{2}\left(x-5\right)=0$ $-1$ $\left(2$ times); 5 $2$ $x-8=0$ 3. $\left(x+2\right)\left(x-2\right)=0$ 4. $\left(x-3\right)\left(x+1\right)\left(x-1\right)=0$ $5$ $x\left(x-4\right)\left(x+5\right)\left(x-1\right)=0$ $6.$ $\left(x-1\right)\left(x-3\right)^{3}=0$ $7$ $\left(x^{2}-4x+13\right)\left(x-5\right)^{3}=0$ $8$ $\left(x+1\right)^{5}\left(x-1\right)^{2}=0$ $9$ $\left(x^{2}+4\right)\left(x-3\right)^{3}=0$ $10.\left(x-\sqrt{2} \right)^{6}\left(x+\sqrt{2} \right)^{6}x^{4}=0$
10th-13th grade
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Qanda teacher - Sadhana Si
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