For a polynomial p(x), the value of p(3) is −2. Which of the following must be true about p(x)? A) x−5 is a factor of p(x).

B) x−2 is a factor of p(x).

C) x+2 is a factor of p(x).

D) The remainder when p(x) is divided by x−3 is −2.

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SHOW WHAT THE POSSIBLE ANSWER WOULD BE FOR ALL CHOICES

Step-by-step explanation:

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option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.