The given polynomial is
f(x) = x³ + 6x² + 12x + 35
According to the Remainder Theorem, if x = a is a zero, then
f(a) = 0, and (x-a) is a factor.
Test (x-1):
f(1) = 1 + 6 +12 + 35 = 54
Not a factor.
Test (x-3):
f(3) = 3³ +6*3² + 12*3 + 35 = 152
Not a factor.
Test (x+3):
f(-3) = (-3)³ + 6*(-3)² + 12*(-3) + 35 = 26
Not a factor.
Test (x+5):
(-5)³ + 6*(-5)² + 12*(-5) + 35 = 0
It is a factor.
Answer: (x+5) is a factor.
X is independent because none of the other numbers or variables affects it
The answer is 6 when u are working with a negative a positive number subtracts
Answer:
a(7) = 21
Step-by-step explanation:
Using the recursive formula and a(1) = 0, a(2) = 1 , then
a(3) = a(2) + 2a(1) = 1 + 2(0) = 1 + 0 = 1
a(4) = a(3) + 2a(2) = 1 + 2(1) = 1 + 2 = 3
a(5) = a(4) + 2a(3) = 3 + 2(1) = 3 + 2 = 5
a(6) = a(5) + 2a(4) = 5 + 2(3) = 5 + 6 = 11
a(7) = a(6) + 2a(5) = 11 + 2(5) = 11 + 10 = 21
Answer:
90 degrees clockwise rotation about the origin
Step-by-step explanation:
<u>As per the graph we can see transition of:</u>
- 90 degrees clockwise rotation about the origin
- Original quadrilateral IJKL
- Image quadrilateral I'J'K'L'
Rule applied to each point:
