solve for the polynomial equation by factoring, then using the zero product principle. This is just the example problem Please explain where the 3 comes in. I'm so lost- and I'm using the example to help me solve the question I'm doing.

  -3 comes from combining 1 and -4

Step-by-step explanation:

The -3 under the radical is the result of combining the terms

  16 -4(16) = 16(1 -4) = 16(-3) = -3(16)

16 is factored out. It is done this way because 16 is a perfect square factor, so wants to maintain that identity while you figure out the rest of the radical.

sec ф = 5/3 (quadrant 4)

let x = base

y = perp

z = hypotenuse

sec ф = hypotenuse/base = 5/3

⇒ z = 5 and x = 3

finding y:

z² = x² + y²

5² = 3² + y²

y² = 25-9

y² = 16

y = 4

now finding all other geometric functions of theta:

sin ф = y/z = 4/5

sin ф = -4/5 (sin is negative in the 4th quadrant)

cos ф = x/z = 3/5

cos ф = 3/5 (cos is positive in 4th quadrant)

tan ф = y/x = 4/3

tan ф = -4/3 (tan is negative in 4th quadrant)

cosec ф = z/y = 5/4

cosec ф = -5/4 (cosec is negative in the 4th quadrant)

cot ф = x/y = 3/4

tan ф = -3/4 (tan is negative in 4th quadrant)

true

explanation: