# Find the X and Y Intercepts y=4x^2-9x+5

Find the X and Y Intercepts y=4x^2-9x+5
Find the x-intercepts.
To find the x-intercept(s), substitute in for and solve for .
Solve the equation.
Rewrite the equation as .
Factor by grouping.
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Factor out of .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set the first factor equal to and solve.
Set the first factor equal to .
Add to both sides of the equation.
Set the next factor equal to and solve.
Set the next factor equal to .
Add to both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
The final solution is all the values that make true.
x-intercept(s) in point form.
x-intercept(s):
x-intercept(s):
Find the y-intercepts.
To find the y-intercept(s), substitute in for and solve for .
Solve the equation.
Remove parentheses.
Simplify .
Simplify each term.
Raising to any positive power yields .
Multiply by .
Multiply by .
Simplify by adding zeros.
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
List the intersections.
x-intercept(s):
y-intercept(s):
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### Name

Name one billion seven hundred sixty-one million three hundred sixty-eight thousand three hundred seventy-five

### Interesting facts

• 1761368375 has 32 divisors, whose sum is 2375528064
• The reverse of 1761368375 is 5738631671
• Previous prime number is 313

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 47
• Digital Root 2

### Name

Name four hundred seventy-five million three hundred twenty thousand three hundred sixty-nine

### Interesting facts

• 475320369 has 8 divisors, whose sum is 485688000
• The reverse of 475320369 is 963023574
• Previous prime number is 139

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 39
• Digital Root 3

### Name

Name five hundred eighty-five million two hundred ninety-five thousand one hundred sixty-six

### Interesting facts

• 585295166 has 16 divisors, whose sum is 894009984
• The reverse of 585295166 is 661592585
• Previous prime number is 73

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 47
• Digital Root 2