What is the remainder when (x3 − 4x2 − 12x + 9) is divided by (x + 2)

9

Step-by-step explanation:

This is a straightforward application of the Remainder Theorem, which states that any polynomial , when divided by a linear factor  will have a remainder equal to evaluating the function  at

To find the remainder of    when divided by    , we have to evaluate the polynomial at

Let's do it.

Hence, 9 is the remainder.

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.