# Find the Maximum/Minimum Value f(x)=3x^2+18x+25

Find the Maximum/Minimum Value f(x)=3x^2+18x+25
The maximum or minimum of a quadratic function occurs at . If is negative, the maximum value of the function is . If is positive, the minimum value of the function is .
occurs at
Find the value of equal to .
Substitute in the values of and .
Remove parentheses.
Simplify .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Multiply by .
Replace the variable with in the expression.
Simplify the result.
Simplify each term.
Raise to the power of .
Multiply by .
Multiply by .
Subtract from .
Use the and values to find where the minimum occurs.
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### Name

Name one billion seven hundred fifteen million nine hundred fifty-eight thousand seven hundred thirty

### Interesting facts

• 1715958730 has 16 divisors, whose sum is 3096797184
• The reverse of 1715958730 is 0378595171
• Previous prime number is 383

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 46
• Digital Root 1

### Name

Name two billion seventy-four million seven hundred fifty-eight thousand four hundred twenty-five

### Interesting facts

• 2074758425 has 8 divisors, whose sum is 2159122056
• The reverse of 2074758425 is 5248574702
• Previous prime number is 1621

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 44
• Digital Root 8

### Name

Name nine hundred eighty-two million twenty-one thousand five hundred thirty-six

### Interesting facts

• 982021536 has 2048 divisors, whose sum is 18771886080
• The reverse of 982021536 is 635120289
• Previous prime number is 367

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 36
• Digital Root 9