ANSWER
C. f(x) = (x+3)(x+5)
EXPLANATION
The given function is
The factored form of the function reveals the zeros of the function.
From the factored form, we apply the zero product principle to get the zeros.
From the given options, the factored form of the polynomial is
A very useful result called the inscribed angle theorem tells us that, given any <em>inscribed angle</em> on a circle (an angle on the inside edge of a circle) the <em>central angle </em>that <em>subtends the same arc</em> is <em>twice the measure of the inscribed angle</em>. I've included a visual example for this problem if any of that vocabulary is unfamiliar.
Here, the inscribed angle ∠C = 87° is attached to the arc DEB. According to the inscribed angle theorem, the central angle swept out by DEB should then be 87 x 2 = 174°. To find the measure of arc DE, we note that arc DEB is just arc DE + arc EB. We're given that arc EB measures 76°, so we subtract that from 174 to find that arc DE = 174 - 76 = 98°
