Consider the quadratic expression 13x^2 + nx - 17. For certain values of n, it may be factored into a product of two linear polynomials, both of which have integer coefficients. What are all such values of n?

n = 220, 4, -4, -220

Step-by-step explanation:

factors of 17: 17, 1, -1, -17

13 is prime number: 13 x  1 = 13

(ax+b)(cx+d) = axcx+axd+bcx+bd

(x + 17)(13x - 1) = 13x^2 + 220x - 17, n = 220

(x - 17)(13x + 1) = 13x^2 - 220x - 17, n = -220

(x + 1)(13x - 17) = 13x^2 - 4x - 17, n = -4

(x - 1)(13x + 17) = 13x^2 + 4x - 17, n = 4

you already gave the answer

step-by-step explanation:

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.