121,940
My answer was rounded to the nearest thousandth
Answer:
see explanation
Step-by-step explanation:
Using the Remainder theorem
If f(x) is divided by (x - h) then f(h) = remainder, thus
f(3) = 3³ + a(3)² + b(3) + 4 = 10, that is
27 + 9a + 3b + 4 = 10
9a + 3b + 31 = 10 ( subtract 31 from both sides )
9a + 3b = - 21 → (1)
f(- 1) = (- 1)³ + a(- 1)² + b(- 1) + 4 = 6, that is
- 1 + a - b + 4 = 6
a - b + 3 = 6 ( subtract 3 from both sides )
a - b = 3 → (2)
Rearrange (2) expressing a in terms of b
a = 3 + b → (3)
Substitute a = 3 + b into (1)
9(3 + b) + 3b = - 21 ← distribute and simplify left side
27 + 9b + 3b = - 21
12b + 27 = - 21 ( subtract 27 from both sides )
12b = - 48 ( divide both sides by 12 )
b = - 4
Substitute b = - 4 into (3)
a = 3 - 4 = - 1
Hence a = - 1 and b = - 4
<span>The individual factors for each integer along with the common factors and greatest common factor
will be shown. Factors of 18 are 1, 2, 3, 6, 9, 18. Factors of 36 are
1, 2, 3, 4, 6, 9, 12, 18, 36. Factors of 48 are 1, 2, 3, 4, 6, 8, 12,
16, 24, 48.</span>
Answer:
im a scorpio but my sister in law is a taurus... :)
Step-by-step explanation:
Equation :
This parabola is facing downwards and highest point of the parabola is it's vertex.
Highest point is (-2,2)
so the vertex is (-2,2)
The graph is passing through (-1,0)
Equation in vertex form is
Substitute back in Equation
the graph has two x intercepts -1 and -3
that means (x+1) and (x+3) are the factors
multiply factors to get the equation in standard form
-2x^2-8x-6=0