Are they suppose to be squared ?
C is correct
(x+3)^2
(x+3)(x+3)
x^2+3x+3x+9
x^2+6x+9
Answer:
YES
Step-by-step explanation:
Any line that is tangent to a circle is always perpendicular to the radius of the circle, forming a right angle at the point of tangency.
Therefore, ∆BAC is a right triangle if it satisfy the pythagorean triple rule which says that c² = b² + a²
Where,
c = the hypotenuse = 30
b = 24
a = 2(9) = 18
Thus:
30² = 24² + 9²
900 = 900 (this is true)
Therefore, line AB is tangent to circle O.
The answer is YES
Answer:
Choice b.
.
Step-by-step explanation:
The highest power of the variable 
in this polynomial is 
. In other words, this polynomial is quadratic.
It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to 
.)
After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.
Apply the quadratic formula to find the two roots that would set this quadratic polynomial to . The discriminant of this polynomial is 
.
.
Similarly:
.
By the Factor Theorem, if 
is a root of a polynomial, then 
would be a factor of that polynomial. Note the minus sign between and 
.
- The root
corresponds to the factor 
, which simplifies to 
. - The root
corresponds to the factor 
, which simplifies to 
.
Verify that 
indeed expands to the original polynomial:
.
