The quotient of the synthetic division problem is "f(x) = -2x² + 9x + 5" (Option C).
<h3>
What is Synthetic Division?</h3>
When a polynomial division is executed using the shorthand method, using a linear factor, one is said to have executed a Synthetic Division.
The synthetic division translates to
- 2 15 -22 -15
<u>3 | -6 27 15</u>
-2 9 5 0
Citing the coefficient of the quotient of the first three numbers:
- 2, 9, 5. The last number is given as the remainder.
Hence the remainder is zero.
Given that the coefficient of the quotient are three, the interpretation is that the polynomial greatest degree is 2.
Thus,
f(x) = -2x² + 9x + 5
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1)
= 24z^7
answer
A. 24z^7
2)
= 24 x^2y^9
answer
D. 24 x^2y^9
3)
=w^12z^18
answer
C. w^12z^18
4)
= 4x^6
answer
B. 4x^6
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❖ The correct answer choice is d) 24 and 36.
We can check this:
24 + 36 = 60
24 ÷ 12 = 2
36 ÷ 12 = 3
2:3
D includes everything that is required so d is correct.
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Answer:
x = 11, y = 3
Step-by-step explanation:
(13x - 19) and (9x + 25) are corresponding angles and congruent, thus
13x - 19 = 9x + 25 ( subtract 9x from both sides )
4x - 19 = 25 ( add 19 to both sides )
4x = 44 ( divide both sides by 4 )
x = 11
Then
13x - 19 = 13(11) - 19 = 143 - 19 = 124
(17y + 5) and 124 are alternate angles and are supplementary, thus
17y + 5 + 124 = 180, that is
17y + 129 = 180 ( subtract 129 from both sides )
17y = 51 ( divide both sides by 17 )
y = 3