If (x - 5) is a factor of f(x), which of the following must be true?
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aroot of f(x) is x = -5.
a root of f(x) is x = 5.
both x = -5 and x = 5 are roots of f(x).
neither x = -5 nor x = 5 is a root of f(x).

a root of f(x)= 5

Step-by-step explanation: they did not give you the equation so there is no way you can assume -5 is a root as well so when you take x-5 and set it equal to 0 you add five to both sides causing x to equal 5

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: