Answer:
f(x) = - 4x² + 24x - 20
Step-by-step explanation:
Given
f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL
= - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4
= - 4x² + 24x - 36 + 16 ← collect like terms
= - 4x² + 24x - 20
There are 
ways of picking 2 of the 10 available positions for a 0. 8 positions remain.
There are 
ways of picking 3 of the 8 available positions for a 1. 5 positions remain, but we're filling all of them with 2s, and there's 
way of doing that.
So we have
The last expression has a more compact form in terms of the so-called multinomial coefficient,
Answer:
1.25 × 10^-4
Step-by-step explanation:
Move the decimal until it's at 1.25. You had to go right 4 times so it's negative. If it were 12500 then you'd do it until it was 1.2500 which would be going left so it'd be a positive 4
Answer:
x^6y^3
Step-by-step explanation:
<u>Given polynomial:</u>
<u>Get prime factors:</u>
- 2*2*2*x*x*x*x*x*x*y*y*y*y*y - 3*x*x*x*x*x*x*x*x*y*y*y
<u>Common factors of the two terms:</u>
- x*x*x*x*x*x*y*y*y = x^6y^3
<u>So</u>
x^6y^3 is the GCF of this polynomial
