Answer:
Taking P(x) = x³-12x-16 as an example
Step-by-step explanation:
For a polynomial, if
x = a is a zero of the function, then (x − a) is a factor of the function.
We have two unique zeros:
−2 and 4. However, −2 has a multiplicity of 2, which means that the factor that correlates to a zero of −2 is represented in the polynomial twice.
Following how it's constructed
zero at -2, multiplicity 2
zero at 4, multiplicity 1
p(x)=x−(−2))²(x−4)¹
Thus,p(x)=(x+2)²(x−4)
Expand: p(x)=(x²+4x+4)(x−4)
p(x) =x³−12x−16
Answer:
Parallel
Step-by-step explanation:
they have the same slopes
Answer: XY = 8
Step-by-step explanation:
The diagram of the triangle XYZ is shown in the attached photo.
XY=XZ. This means that two sides of the triangle are equal. Two angles are also equal. It means that the triangle XYZ is an isosceles triangle.
Since XY=XZ, then
2a = 5a - 12
Subtracting 2a from both sides of the equation,
2a - 5a = 5a - 12 - 5a
-3a = -12
a = -12/-3
a = 4
Therefore, the length of XY is 2a = 2×4 = 8