Use synthetic division to solve (3x4 +6x2 + 2x2 +9X+10)+(x+2). What is the quotient? 3x3 + 12x2 + 26x+61 +
132
X+2
3x3 + 2x+5
132
3x3 + 12x2 + 26x+61 +
X-2
O 3x²+2x² + 5x

3x^3 +2x + 5

Did you mean (3x^4+ 6x^3 + 2x^2 +9x + 10)/(x+2)?

First let’s set up a synthetic division template. We’re dividing by (x+2), which is in the form (x+c). What goes on the outside of the template is -c, so -2 is on the outside.

Then, let’s write down all the coefficients of the terms in the quantity being divided, (3x^4 +6x^3+ 2x^2+ 9x +10). Inside the template we have 3, 6, 2, 9, and 10 because we write down the coefficients in order of how high their powers are.

Then we bring down the first coefficient to the bottom of the template. And now we multiply 3 and -2, which gives us -6. Write -6 under the second term of the dividend, which is 6. Now add. We get 0. We repeat this cycle of multiplying and adding.

0 times -2 is zero. Now the third term of the dividend, 2, plus 0 is 2.

-2 times 2 is -4. The fourth term of the dividend, 9, plus -4 is 5.

5 times -2 is -10. 10 plus -10 is zero, and so our remainder is zero.

Now rewrite the numbers on the bottom of the template as our quotient. We have 3, 0, 2, and 5, on the bottom (we can ignore the remainder because it’s zero). Every coefficient gets written with x to one power lower than the original dividend.

So we can write 3x^3 + 0x^2 + 2x + 5.

Rewrite as 3x^3 + 2x + 5.

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.

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !