Answer:

Step-by-step explanation:
<u>Step 1: Combine like terms</u>
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Answer: 

Synthetic division is used since the equation is of the third degree. The divisors of -3 are 1, -1, 3, +3. So:
| 2 -7 8 -3
<u>1 | 2 -5 3</u>
| 2 -5 3 0
<u> 1 | 2 -3 </u>
2 -3 0
So the factorization is (x-1)² (2x-3)=0. So:


Synthetic division is used since the equation is of the third degree. The divisors of -4 are 1, -1, 2, -2, 4, -4. So:
| 1 -1 0 -4
<u>2 | 2 2 </u>
1 2 2 0
So the factorization is (x-2)(x²+x+2)=0 . When calculating the discriminant of the trinomial, it is concluded that it has no roots since the result is negative. So you only have one solution.


Synthetic division is used since the equation is of the third degree. The divisors of 2 are 1, -1, 2, -2. So:
| 6 7 9 2
<u>-2 | -12 10 -2</u>
6 -5 1 0
So the factorization is (x+2)(6x²-5x+1)=0 . The quadratic equation is solved by the general formula:


Answer:
37
Step-by-step explanation:
Right Scalene Triangle
Side a = 37
Side b = 12
Side c = 35
Angle ∠A = 90° = 1.5708 rad = π/2
Angle ∠B = 18.925° = 18°55'29" = 0.3303 rad
Angle ∠C = 71.075° = 71°4'31" = 1.2405 rad
C=71.075°B=18.925°A=90°b=12a=37c=35
Area = 210
Perimeter p = 84
Semiperimeter s = 42
Height ha = 11.35135
Height hb = 35
Height hc = 12
Median ma = 18.5
Median mb = 35.51056
Median mc = 21.2191
Inradius r = 5
Circumradius R = 18.5
Vertex coordinates: A[0, 0] B[35, 0] C[0, 12]
Centroid: [11.66667, 4]
Inscribed Circle Center: [5, 5]
Circumscribed Circle Center: [17.5, 6]
Word form: three thousand sixty five hundred and fifty six
Expanded form: 300,000 + 60,000 + 500 + 50 + 6
125, 216, 343, 512, 729
the numbers given in the sequence are recognisable as cubes
1 = 1³, 8 = 2³, 27 = 3³, 64 = 4³
the next five terms will be
5³ = 125, 6³ = 216, 7³ = 343, 8³ = 512 and 9³ = 729