If (x+4) is a factor of -x2-11x-w = 0, then the value of w is:
a.-60
b. -28
c. 28 or
d.60
When you use long division to divide x+4 into -x^2 -11x -w, you get
-x + (-7x -w)/(x+4)
Ask yourself what 4 has to be in order for (-7x -w)/(x+4) to be equal to a constant.
3x3 − 2x2 + 75x − 50
To solve this question, we need to use the Remainder Theorem. The Remainder Theorem states that if a polynomial f(x) is divided by x - c and the remainder is 0, then c is a root (also known as a zero) of the polynomial.
In the given equation, (-x^2 - 11x - w) = 0, we are told that (x + 4) is a factor.
To find the value of w, we need to substitute x = -4 into the equation and see if the equation equals zero:
-(-4)^2 - 11(-4) - w = 0
Simplifying this equation, we have:
-16 + 44 - w = 0
28 - w = 0
To find the value of w, solve for it by moving the constants to the other side of the equation:
w = 28
Therefore, the value of w is 28, so the correct answer is option c.