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Factor the quadratic expression x^2 + 7x + 10.
Practice Questions
Q1
Factor the quadratic expression x^2 + 7x + 10.
(x + 5)(x + 2)
(x - 5)(x - 2)
(x + 10)(x - 1)
(x - 7)(x - 10)
Questions & Step-by-Step Solutions
Factor the quadratic expression x^2 + 7x + 10.
Steps
Concepts
Step 1: Identify the quadratic expression, which is x^2 + 7x + 10.
Step 2: Look for two numbers that multiply to the constant term (10) and add to the coefficient of the x term (7).
Step 3: The two numbers that work are 5 and 2 because 5 * 2 = 10 and 5 + 2 = 7.
Step 4: Write the factored form using these two numbers: (x + 5)(x + 2).
Factoring Quadratics
– The process of rewriting a quadratic expression in the form of a product of two binomials.
Finding Roots
– Identifying two numbers that multiply to the constant term and add to the linear coefficient.
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