Subtract 1/3 from both sides
x/12 = 5/6 - 1/3
Simplify 5/6 - 1/3 to 1/2
x/12 = 1/2
Multiply both sides by 12
x = 12 × 12
Simplify 1/2 × 12 to 12/2
x = 12/2
Simplify 12/2 to 6
<u>x = 6</u>
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.
Answer:
1. yes
2.yes
3.yes
4.yes
Step-by-step explanation:
In a rectangle, there are 2 sides of length and two sides of width
So the perimeter of a rectangle is 2 length+2 width
2(18+3)
=42cm
