Answer:
The polynomial with real coefficients having zeros 2 and 2 - 2i is
x³ - 6x² + 16x - 16 = 0
Step-by-step explanation:
Given that a polynomial has zeros at 2 and 2 - 2i, we want to write this polynomial.
We have
x - 2 = 0
x - (2 - 2i) = 0
=> x - 2 + 2i = 0
Since the polynomial has real coefficients, and 2 - 2i is a zero of the polynomial, the conjugate of 2 - 2i, which is 2 + 2i is also a polynomial.
x - (2 + 2i) = 0
=> x - 2 - 2i = 0
Now,
P(x) = (x - 2)(x - 2 + 2i)(x - 2 - 2i) = 0
= (x - 2)((x - 2)² - (2i)²) = 0
= (x - 2)(x² - 4x + 8) = 0
= x³ - 4x² + 8x - 2x² + 8x - 16 = 0
= x³ - 6x² + 16x - 16 = 0
This is the polynomial required.
Perimeter = 9 + 13 + 6 = 28 m
area = 1/2 x 9 x 5.3 = 23.85 square m
Answer:
D
Step-by-step explanation:
lines are parallel, cut by transversal, so:
x=29° (alternate interior angles)
in a parallelogram, opposite angles are congruent, so:
z=119°
therefore, y=32° since D is the only option where x=29° and z=119°
62 is the awnser for this
Answer:
C<B<A
Step-by-step explanation:
C Is smallest
The square root of 400 is 20 so its in the middle
And A is the biggest
C is less than B
B is less than A