<span>A polynomial with the given zeros can be represented as
f(x) = (x-1)(x-2)(x+2)(x+3).
Note that if you set f(x) = 0, then 1,2,-2, and -3 certainly are the solutions. From here, we simply multiply/expand out the polynomial. We can do this in a variety of ways, one of which is taking the left two and right two products separately. We have
(x-1)(x-2) = x^2 - 3x + 2
and
(x+2)(x+3) = x^2 + 5x + 6.
This gives that
f(x) = (x^2 - 3x + 2) (x^2 + 5x + 6).
Expanding this expression out then gives us our answer as
f(x) = x^4 + 2x^3 - 7x^2 - 8x + 12
or answer choice B.</span>
Answer: 5 seconds
<u>Step-by-step explanation:</u>
Maximum height is the y-value of the vertex. The number of seconds at maximum height is the x-value (aka axis of symmetry).
h(x) = -2x² + 20x + 48
a=-2 b=20 c=48
Axis of symmetry: x = 
= 
= 
= 5
The distributive property: a(b + c) = ab + ac
7 × 7 = 7 × (10 - 3) = (7)(10) - (7)(3) = 70 - 21 = 49
7 × 7 = 7 × (5 + 2) = (7)(5) + (7)(2) = 35 + 14 = 49
Step 1) Convert $25 to a decimal:
0.25
Step 2) Multiply that by the amount the sandals cost.
$0.25×$45=$11.25
Step 3) Subtract from the amount you last got.
$45-$11.25=
$33.75
And there we have it! Our answer came out to $33.75.
So, with the 25% off, Sandy is now only paying $33.75 instead of $45.
