SOLUTION: How do I calculate the zeros of the following function? F(x) = x^3+x^2-49x-49, Given (x-1) is a factor of the polynomial.

SOLUTION: How do I calculate the zeros of the following function? F(x) = x^3+x^2-49x-49, Given (x-1) is a factor of the polynomial.

Algebra.Com

Question 923966: How do I calculate the zeros of the following function?
F(x) = x^3+x^2-49x-49,
Given (x-1) is a factor of the polynomial.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
x^3+x^2-49x-49,
group factor
(x^3 + x^2) - (49x - 49) = 0
Factor out the common term
x^2(x + 1) - 49(x + 1) = 0
Factor out (x+1)
(x + 1)(x^2 - 49) = 0
Factor (x^2 - 49) as the difference of squares
(x -7)(x + 7) = 0
Three zeros
x = 1
x = 7
x = -7
RELATED QUESTIONS
Find the complex zeros of the following polynomial function. Write f in factored form.... (answered by greenestamps)

1. Is H(x) = 2x+1/x^2-9 a polynomial function and if so how 2. how do i find each zero... (answered by stanbon)

Form a polynomial f(x) with real coefficients having the given degree and zeors. Degree... (answered by Edwin McCravy)

find all of the rational zeros of this function f(x) = x^4 -... (answered by nabla)

how do you find the complex zeros of the polynomial function. f(x)=x^3 +... (answered by josgarithmetic)

Please someone help me understand how to do these problems. Please show all your work so... (answered by josgarithmetic)

f(x) = x^3 - 12x^2 + 36x - 32; 8 Given a polynomial function and a zero, find the... (answered by stanbon)

Find a polynomial function f(x) of the indicated degree with integer coefficients that... (answered by Fombitz)

Find a polynomial function f(x) of the indicated degree with integer coefficients that... (answered by MathLover1)