1. 2x³ - 11x² + 13x - 21 ÷ x - 3
x - 3 = 0 ⇒ x = 3
3 | 2 -11 13 -21
<u>| ↓ 6 -15 -6</u>
2 -5 -2 -27
1. Answer: 2x² - 5x - 2 - 
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2. 3x³ + 7x² - 13x + 10 ÷ x + 2
x + 2 = 0 ⇒ x = -2
-2 | 3 7 -13 10
<u>| ↓ -6 -2 30</u>
3 1 -15 40
2. Answer: 3x² + x - 15 + 
3. 2x³ + 13x² - 21x + 9 ÷ x - 1
x - 1 = 0 ⇒ x = 1
1 | 2 13 -21 9
<u>| ↓ 2 15 -6</u>
2 15 -6 3
3. Answer: 2x² + 15x - 6 + 
4. 7x³ + 0x² - 8x + 16 ÷ x - 2
x - 2 = 0 ⇒ x = 2
2 | 7 0 -8 16
<u>| ↓ 14 28 40</u>
7 14 20 56
4. Answer: 7x² + 14x + 20 + 
5. 8x⁴ - 14x³ - 71x² - 10x + 24 ÷ x - 4
x - 4 = 0 ⇒ x = 4
4 | 8 -14 -71 -10 24
<u>| ↓ 32 72 4 -24 </u>
8 18 1 -6 0
5. Answer: 8x³ + 18x² + x - 6
Answer:
a) 3,6,9,12,15,..
b) Common Ratio is 3
c) Recursive Formula : aₙ= aₙ₋₁ + d where a₁=3 and d= 3
Step-by-step explanation:
a) Create your own arithmetic sequence. Write out the first 3 terms.
Consider the sequence: 3,6,9,12,15,..
a₁ = 3
a₂ = 6
a₃ = 9
b) What is the common difference of your sequence?
6-3 = 3
9-6 = 3
12 -9 =3
So, common difference is 3
c) Write the recursive formula representing your sequence.
a₁ = 3
a₂ = aₙ₋₁ + d
= a₁ + d
= 3+ 3 = 6
a₃ = aₙ₋₁ + d
= a₂ + d
= 6+3 = 9
so, recursive formula is aₙ = aₙ₋₁ + d where a₁ = 3 and d= 3
The slope of the line is -3/4
Answer:
Where is the graph of this question?
To prove the QRST is a parallelogram.
Step 1: Given 
and 
Step 2: 
are alternate interior angles.
Definition of alternate interior angles
Step 3: Alternate interior angle theorem:
If two parallel lines cut by a transversal then the alternate interior angles are congruence.
QR and TS are parallel lines cut by QS.
Therefore, 
Step 4: Reflexive property of congruence:
Any geometric figure is congruence to itself.
Therefore, 
Step 5: By the above steps
(Angle), (Angle) and (Side)
Hence 
(by ASA congruence theorem)
Step 6: Corresponding parts of congruence triangles are congruent.
Step 7: Property of parallelogram:
If one pair of opposite sides are both parallel and congruent, then the quadrilateral is a parallelogram.
Hence Quadrilateral QRST is a parallelogram.
