Problem 3
Question
Are \(-5,2,\) and 3 the solutions of \(3(x-2)(x+5)=0 ?\) Explain.
Step-by-Step Solution
Verified Answer
Yes, -5, 2 and 3 are solutions of the equation because plugging these values into the equation results in zero.
1Step 1: Test the first solution
Place -5 in place of x in the equation: \(3((-5)-2)((-5)+5)\). Calculate the expression and see if it equals zero.
2Step 2: Test the second solution
Now replace -5 with 2: \(3((2)-2)((2)+5)\). Again calculate the expression and make sure it equals zero.
3Step 3: Test the third solution
This time, put 3 in place of x: \(3((3)-2)((3)+5)\). Calculate the expression and confirm whether it equals zero.
Other exercises in this chapter
Problem 3
Factor the expression. $$ b^{2}+10 b+25 $$
View solution Problem 3
Copy and complete the statement. $$ (3 x+2)(x-3)=3 x^{2}-7 x ____ $$
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Use a special product pattern to find the product. $$ (x-6)^{2} $$
View solution Problem 4
Identify the polynomial by degree and by the number of terms. $$ 6 x^{3} $$
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