Solve x5 + 3x4 – 23x3 – 51x2 + 94x + 120 > 0. First, I factor to find the zeroes:x5 + 3x4 – 23x3 – 51x2 + 94x + 120= (x + 5)(x + 3)(x + 1)(x – 2)(x – 4) = 0...so x = –5, –3, –1, 2, and 4 are the zeroes of this polynomial. (Review how to solve polynomials, if you're not sure how to get this solution.)To solve by the Test-Point Method, I would pick a sample point in each interval, the intervals being (negative infinity, –5), (–5, –3), (–3, –1), (–1, 2), (2, 4), and (4, positive infinity). As you can see, if your polynomial or rational function has many factors, the Test-Point Method can become quite time-consuming.To solve by the Factor Method, I would solve each factor for its positivity: x + 5 > 0 for x > –5;x + 3 > 0 for x > –3; x + 1 > 0 for x > –1; x – 2 > 0 for x > 2; and x – 4 > 0 for x > 4. Then I draw the grid:...and fill it in:...and solve:Then the solution (remembering to include the endpoints, because this is an "or equal to" inequality) is the set of x-values in the intervals [–5, –3], [–1, 2], and [4, positive infinity].

As you can see, if your polynomial or rational function has many factors, the Factor Method can be much faster.

4 0

3 years ago

The measure of angle O is 7pi/4. The measure of its reference angle is _degree, and tan O is _?

Fofino [41]

Identities that come from sums, differences, multiples, and fractions of angles

6 0

3 years ago

Read 2 more answers

Can you help me please!!!! please!!!! :)

Anastasy [175]

Answer:

Qn.1

{4,5,6,7,8,9,12,15,16}is ans of 1

{8,9}is ans of 2

{4,5,6,7,8,9,18,20}is ans of 3

{}Is the ans of 4

{8,9,12,15,16,18,20}is ans of 5

{}is ans of 6

{4,5,6,7,8,9,12,15,16,18,20} is ans of 7

{8,9,12,15,16} is ans of 8

Qn.2

{0,12}is ans of 9

{0,2,10,12}is ans of 10

{0,4,6,8,12}is ans of 11

{2,4,6,8,10}Is ans of 12

{}is ans of 13

{0,12}is ans 14

{0,12} is ans 15

{0,2,10,12} is ans of 16

{0,12} is ans of 17

{0,12} is ans of 18

{2,10} is ans of 19

{4,6,8} is ans of 20

I haven't made the symbol of union and intersection because i don't how to make.

it may help you at your work

4 0

3 years ago

3(6x - 4) = 22x

pentagon [3]

First expand the brackets 18x-12=22x and then you move the 18x to the other side so 12=22x-18x 12=4x. 3=x

5 0

4 years ago