Answer:
f(x) = - 2x³ - 11x² + 12x + 36
Step-by-step explanation:
given that x = a and x = b are the roots of a polynomial then
(x - a) and (x - b) are it's factors and the polynomial is the product of the factors
here x = -2 ( repeated ) and x = 3 (repeated), hence the factors are
(x + 2)² and (x - 3)² → the square denotes a repeated root
f(x) = (x + 2)²(x - 3)² ← expand factors and simplify
= (x² + 4x + 4)(x² - 6x +9)
= - 2x³ - 11x² + 12x + 36 ← is a possible equation
Answer:
x=-11
Step-by-step explanation:
Sum of the interior angles of a triangle is 180
(x+51)+60+80=180
(x+51)+140=180
x+51=40
x=-11
Multiply all terms by x and cancel
xx+-15=2x
x^2-15=2x simplify both sides
x^2-15-2x=2x-2x subtract 2x from both sides
x^2-2x-15=0
(x+3)(x-5)=0 factor left side of equation
x+3=0 or x-5=0 set factors equal to 0
x=-3 or x=5
hope this helps!
Answer:
- y + 8(0) = -2 -y + 8(1)=-2 -y + 8(2) = -2
-y + 0 =-2 -y + 8 - 8 = -2 -8 -y +16 - 16 = -2 -16
-y= -2 -y = -10 -y = -18
Step-by-step explanation:
- y + 8(0) = -2 -y + 8(1)=-2 -y + 8(2) = -2
-y + 0 =-2 -y + 8 - 8 = -2 -8 -y +16 - 16 = -2 -16
-y= -2 -y = -10 -y = -18
for x = 0, 1, 2