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Lubov Fominskaja [6]
3 years ago
13

(r^3+6r^2-21r-18) ÷ (r-3) Show in Synthetic Division

Mathematics
2 answers:
Kipish [7]3 years ago
8 0

Answer:

r² + 9r + 6

Step-by-step explanation:

+3|  +1    +6   -21   -18

   |<u>         +3   +27  +18</u>  

      +1    +9    +6     0

Answer:

=1r² +9r + 6 + 0

=r² +9r + 6    (simplified)

Read on if you want to know how it was done.

To do synthetic division, you first need to get the constant of the divisor and change the sign.

Then list the coefficients of the dividend.

Drop the first coefficient.

Multiply it by the divisor, and write the answer under the next coefficient and add. Repeat till the end.

The answer should be one degree less, the original polynomial.

mixas84 [53]3 years ago
4 0

For this case we must build a quotient such that when multiplied by the divisor, it eliminates the terms of the dividend until it reaches the remainder.

According to the figure we have that the quotient is:

r ^ 2 + 9r + 6

Answer:

Quotient:

r ^ 2 + 9r + 6

See attached image

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<span>If you plug in 0, you get the indeterminate form 0/0. You can, therefore, apply L'Hopital's Rule to get the limit as h approaches 0 of e^(2+h),
which is just e^2.
</span><span><span><span>[e^(<span>2+h) </span></span>− <span>e^2]/</span></span>h </span>= [<span><span><span>e^2</span>(<span>e^h</span>−1)]/</span>h

</span><span>so in the limit, as h goes to 0, you'll notice that the numerator and denominator each go to zero (e^h goes to 1, and so e^h-1 goes to zero). This means the form is 'indeterminate' (here, 0/0), so we may use L'Hoptial's rule:
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3 years ago
10–{22–[(−9)+(−11)]} help i'M HAVING A bad day :( fix it
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Answer:

-32

Step-by-step explanation:

10–{22–[(−9)+(−11)]}

Work inside out

10–{22–[(-20)]}

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10–{22+20}

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7 0
3 years ago
24/25 in percentage form
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3 years ago
Write a real world problem for the following equation:<br> 80-3x=53
Afina-wow [57]

Answer:

x=9

Step-by-step explanation:

Step 1: Simplify by both sides of the equation.

80-3x=53

80+-3x=53

-3x+80=53

Step 2: Subtract 80 from both sides.

-3x+80-80=53-80

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Step 3: Divide by both sides by 3.

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Part 3. Identify the X intercepts for<br><br>y = (x+4)^2-9​
RSB [31]

Answer:

x = -1 or x = -7

Step-by-step explanation:

y = (x + 4)^2 - 9​

To find x-intercept, set y = 0

=>  (x + 4)^2 - 9​ = 0

=>  ( x + 1)( x + 7) = 0

=> x = -1 or x = -7

7 0
3 years ago
Read 2 more answers
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