# 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 .
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 eleven million seven hundred thirty-two thousand six hundred ninety-seven

### Interesting facts

• 1011732697 has 8 divisors, whose sum is 1025216640
• The reverse of 1011732697 is 7962371101
• Previous prime number is 6491

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 37
• Digital Root 1

### Name

Name five hundred four million nine hundred seventy-two thousand six hundred ninety-six

### Interesting facts

• 504972696 has 64 divisors, whose sum is 2286335808
• The reverse of 504972696 is 696279405
• Previous prime number is 163

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 48
• Digital Root 3

### Name

Name one billion four hundred seven million two hundred seventy-three thousand four hundred ninety-eight

### Interesting facts

• 1407273498 has 8 divisors, whose sum is 2124707508
• The reverse of 1407273498 is 8943727041
• Previous prime number is 153

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 45
• Digital Root 9