Suppose that 6 J of work is needed to stretch a spring from its natural length of 34 cm to a length of 55 cm. (a) How much work is needed to stretch the spring from 42 cm to 47 cm? (Round your answer to two decimal places.) (b) How far beyond its natural length will a force of 25 N keep the spring stretched? (Round your answer one decimal place.)

is there answer choices?

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

8+10

step-by-step explanation:

you multiply 4 by 2 and 5 by 2