Hello :
<span> x4 − 9x2 − 4x + 12 = x²(x²-9)-4(x-3)
=x²(x-3)(x+3)-4(x-3)
= (x-3)(x²(x+3)-4)
= (x-3)(x3+3x²-4)
= (x-3)(x-1)(x²+4x+4)
</span>x4 − 9x2 − 4x + 12 = (x-3)(x-1) (x+2)²
<span> potential roots is : 3 ; 1 :-2</span>
Answer:
x = 3 sqrt 2
Step-by-step explanation:
We know that this is a 45, 45m 90 special right triangle. In this special right triangle the side lengths are x, x and the hypotenuse is x sqrt 2 (we can prove this using pythagoreans theorem). 6 is the hypotenuse, meaning that it is equal to x sqrt 2:
6 = x sqrt 2
x = 6/sqrt 2
Rationalize the denominator:
x = (6 sqrt 2)/2
x = 3 sqrt 2
<span>A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common.One way to determine the greatest common factor is to find all the factors of the numbers and compare them.
The factors of 64 are 1, 2, 4, 8, 16, 32, and 64.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
The common factors are 1, 2, 4, and 8. Therefore, the greatest common factor is 8.
The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.
The prime factors of 64 are 2, 2, 2, 2, 2, and 2.
The prime factors of 72 are 2, 2, 2, 3, and 3.
The prime factors in common are 2, 2, and 2, so the greatest common factor is 2 x 2 x 2 = 8.
SummaryA factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common.
Summary:
The common factors of 64 and 72 are 1, 2, 4, and 8.
The greatest common factor of 64 and 72 is 8.
Or in the short term; the answer is 8</span>
4x + 1 <= 5 ; x = 1
4x +1 >= -5 ; x = - 1.5
Now we know that x is between -1.5 and 1, so you should shade between -1.5 and 1. The circle will be closed since the equality is =< and =>
The answer is option D
Hope this helps
Your answer would be, C 5/45 and 4/36. In simplified form they both equal 1/9, meaning they are a proportion.
