Problem 7
Question
Factor out the greatest common factor. $$x(x+5)+3(x+5)$$
Step-by-Step Solution
Verified Answer
The factored expression is \((x+5)(x+3)\).
1Step 1: Identify the common factor
The first step is to identify the common factor in the expression. Both terms in the expression contain the factor \((x+5)\).
2Step 2: Factor out the common factor
Factor out the common factor \((x+5)\) from the expression. When you factor out a common factor, you divide each term by the common factor and then write the expression as the common factor times the result. The expression becomes: \((x+5)(x+3)\).
Other exercises in this chapter
Problem 7
simplify each rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. $$ \frac{3 x-9}{x^{2}-6 x+9} $$
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In Exercises 5–8, find the degree of the polynomial. $$ x^{2}-4 x^{3}+9 x-12 x^{4}+63 $$
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Evaluate each expression indicate that the root is not a real number. $$ \sqrt{25-16} $$
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Evaluate each exponential expression. $$ (-3)^{0} $$
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