What polynomial has roots of -5,-4 and 1 x^3+8x^2+11x-20 x^3+x^2-22x-40 x^3-x^2+22x+40 x^3-8x-11x+20

x³ + 8x² + 11x - 20 ← the first on list

given the roots of a polynomial, say x = a, x = b and x = c

then the factors are (x - a), (x - b) and (x - c)

the polynomial is the product of the factors

f(x) = (x - a)(x - b)(x - c)

here x = - 5, x = - 4 and x = 1, hence factors are

(x + 5), (x + 4) and (x - 1)

f(x) =(x + 5)(x + 4)(x - 1) ← expanding factors gives

f(x) = (x² + 9x + 20)(x - 1) = x³ + 8x² + 11x - 20

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: