Question: What is the result of factoring the polynomial x^2 + 7x + 10?
Options:
(x + 5)(x + 2)
(x + 10)(x - 1)
(x - 5)(x - 2)
(x + 1)(x + 10)
Correct Answer: (x + 5)(x + 2)
Solution:
Step 1: Find two numbers that multiply to 10 and add to 7: 5 and 2. Step 2: Factor: (x + 5)(x + 2).
What is the result of factoring the polynomial x^2 + 7x + 10?
Practice Questions
Q1
What is the result of factoring the polynomial x^2 + 7x + 10?
(x + 5)(x + 2)
(x + 10)(x - 1)
(x - 5)(x - 2)
(x + 1)(x + 10)
Questions & Step-by-Step Solutions
What is the result of factoring the polynomial x^2 + 7x + 10?
Correct Answer: (x + 5)(x + 2)
Step 1: Look at the last number in the polynomial, which is 10. We need to find two numbers that multiply together to give us 10 and add together to give us 7.
Step 2: The two numbers that work are 5 and 2 because 5 * 2 = 10 and 5 + 2 = 7.
Step 3: Now we can write the polynomial in factored form using these two numbers. We write it as (x + 5)(x + 2).
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