The constant term in the function f(x) = x² + 8x + 15 would be 15.
A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
A function f(x) has x-intercepts of –3 and –5 means
f(x) = (x+3)(x+5)
f(x) = a(x + 3)(x + 5), here a is a multiplier
let a = 1 then
f(x) = (x + 3)(x + 5) (expand factors)
f(x) = x² + 8x + 15
thus, 15 is the constant term
Learn more about quadratic equations;
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