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Q1. What is the factored form of the polynomial x^2 + 7x + 10?
Solution:
Step 1: Find two numbers that multiply to 10 and add to 7: 5 and 2. Step 2: Factor as (x + 5)(x + 2).
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Q2. Which of the following is the solution set for the inequality 2x + 1 ≥ 5?
Solution:
Step 1: Subtract 1 from both sides: 2x ≥ 4. Step 2: Divide by 2: x ≥ 2.
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Q3. What is the product of the roots of the quadratic equation x^2 + 3x + 2 = 0?
Solution:
Step 1: Use the formula c/a. Here, c = 2 and a = 1, so the product is 2/1 = 2.
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Q4. What is the solution to the inequality 2x + 1 > 3?
Solution:
Subtract 1 from both sides: 2x > 2. Then divide by 2: x > 1.
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