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What is the factored form of the polynomial x^2 + 5x + 6?
What is the factored form of the polynomial x^2 + 5x + 6?
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Practice Questions
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Q1
What is the factored form of the polynomial x^2 + 5x + 6?
(x + 2)(x + 3)
(x - 2)(x - 3)
(x + 1)(x + 6)
(x + 3)(x + 2)
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Step 1: Find two numbers that multiply to 6 and add to 5: 2 and 3. Step 2: Factor: (x + 2)(x + 3).
Questions & Step-by-step Solutions
1 item
Q
Q: What is the factored form of the polynomial x^2 + 5x + 6?
Solution:
Step 1: Find two numbers that multiply to 6 and add to 5: 2 and 3. Step 2: Factor: (x + 2)(x + 3).
Steps: 3
Show Steps
Step 1: Look at the polynomial x^2 + 5x + 6. We need to find two numbers that multiply to the last number (6) and add up to the middle number (5).
Step 2: The two numbers that work are 2 and 3 because 2 * 3 = 6 and 2 + 3 = 5.
Step 3: Now we can write the polynomial in factored form using these two numbers. It becomes (x + 2)(x + 3).
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