If x-9 is a factor of x2 – 5x – 36, what is the other factor? 10X-4 x+4 ox-6 O X+6

Mathematics

1 answer:

Anestetic [448]3 years ago

6 0

Answer:

The answer is: the other factor is (x + 4)

Step-by-step explanation:

To solve this problem we must use algebraic division.

See the picture please

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Solve sec2theta + tantheta - 3 =0 for 0

Serhud [2]

Answer:

Ф = $\frac{\pi }{4} ,\frac{5\pi}{4}$

Step-by-step explanation:

It is a bit difficult to input the work here, so I uploaded an image

First we can use the trig identities to change sec²(Ф) to tan²(Ф) + 1
Then we can combine like terms
Then we can factor this as a polynomial function
Then we can set each term equal to zero and solve for Ф
The first term tan(Ф) - 2 = 0 has no solution because tan(Ф) ≠ -2 anywhere
The second term tan(Ф) - 1 = 0 has two solutions of $\frac{\pi}{4}$ and $\frac{5\pi}{4}$ so these are the solutions to the problem