Pre Calc 12
posted by Ellen .
Four consecutive integers have a product of 360 Find the integers by writing a plynomial equation that represents the integers and then solving algebraically.

let the numbers be
x1 x x+1 x+2
then
x(x1)(x+1)(x+2) = 360
since the numbers are all about equal, and since 256 = 4^4, I'd say the numbers are
3,4,5,6
algebraically,
x^4+2x^3x^22x360 = 0
you know the roots are all factors of 360, and you'd like to try numbers near 4, some synthetic division will quickly show that the solutions are 3,4,5,6.
Respond to this Question
Similar Questions

quad. eq.
find 3 consecutive integers such that the product of the second and third integer is 20 Take three integers x, y, and z. The for xyz, we want y*z = 20 The factors of 20 are 20*1 10*2 5*4. 20*1 are not consecutive. 10*2 are not consecutive. … 
math
Consecutive integers are integers that follow each other in order (for example 5, 6, and 7). The sum of three consecutive integers is 417.Let n be the first one. Write an equation that will determine the three integers. 
Math
When you solve questions like "The sum of 3 consecutive integers is 147. Find the integers." do you find consecutive even integers and consecutive odd integers the same way? 
math
i don't get this question consecutive integers are integers that differ by one. you can represent consecutive integers as x,x+1,x+2 and so on. write an equation and solve to find 3 consecutive integers whose sum is 33 
math
i don't get this question consecutive integers are integers that differ by one. you can represent consecutive integers as x,x+1,x+2 and so on. write an equation and solve to find 3 consecutive integers whose sum is 33 how do you solve … 
Math
If the product of 4 consecutive integers is equal to one of the integers, what is the largest possible value of one of the integers? 
Math
The sum of four consecutive even integers is the same as the least of the integers. Find the integers. I'm not sure how to solve it and put it in an equation! 
Math
The sum of four consecutive even integers is the same as the least of the integers. Find the integers. Help please! 
math
What is the smallest of three consecutive integers if the sum of the smaller two integers is equal to 177 less than four times the largest? 
math
What is the smallest of three consecutive integers if the sum of the smaller two integers is equal to 177 less than four times the largest?