Answer:
see explanation
Step-by-step explanation:
note when x = - 3
(- 3)³ + 2(- 3)² + 4(- 3) + 21 = - 27 + 18 - 12 + 21 = 0
hence x = - 3 is a zero and (x + 3) is a factor and dividing gives
= (x + 3)(x² - x + 7)
For zeros equate to zero
(x + 3)(x² - x + 7) = 0
equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x² - x + 7 = 0 ← solve using quadratic formula
x = (1 ± 
) / 2 = (1 ± 3i
) / 2
x = 
± 
zeros are x = - 3, x = ±
Answer:
d= 3h-6
Step-by-step explanation:
h= d/3+2
h-2= d/3
d= 3(h-2)= 3h-6
Answer:
Below.
Step-by-step explanation:
a = 37 degrees ( vertical angle to 37 )
c = 180 - 37 = 143 degrees (adjacent angles add up to 180).
b = 180 - 37 - 109 = 34 degrees (angles in a triangle sum to 180 degrees).
Answer:
6 units
Step-by-step explanation:
Use the distance formula, 
.
Plug the x and y values from the given points into the distance formula:
![\sqrt{([-4]-2)^{2}+(5-5)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28%5B-4%5D-2%29%5E%7B2%7D%2B%285-5%29%5E%7B2%7D%7D)
.
Solve the square root:
= 
= 
Answer:(1-w) (1-w*2)
=1-w*2-w+w*3
=1-w-w*2+1
=1-1+1
=1
Step-by-step explanation:
at first we should multiply them with each other
then, put the value of w*3 i.e. w*3=1
then, put the value of -w-w*2 i.e. 1
then, the final answer is 1.
