Question 21 pts
find the rational roots of

latex: x^4+8x^3+7x^2-40x-60=0x 4 + 8 x 3 + 7 x 2 − 40 x − 60 = 0

group of answer choices

-6, -2

-2, 6

2, 6

-6, 2

x = -2 or x = -6 or x = sqrt(5) or x = -sqrt(5)

Step-by-step explanation:

Solve for x:

x^4 + 8 x^3 + 7 x^2 - 40 x - 60 = 0

The left hand side factors into a product with three terms:

(x + 2) (x + 6) (x^2 - 5) = 0

Split into three equations:

x + 2 = 0 or x + 6 = 0 or x^2 - 5 = 0

Subtract 2 from both sides:

x = -2 or x + 6 = 0 or x^2 - 5 = 0

Subtract 6 from both sides:

x = -2 or x = -6 or x^2 - 5 = 0

Add 5 to both sides:

x = -2 or x = -6 or x^2 = 5

Take the square root of both sides:

x = -2 or x = -6 or x = sqrt(5) or x = -sqrt(5)

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841