Answer:
1. value is 0; x-3 is a factor . . . . . . . . . . . . . .third choice
2. evaluates at x = -1; remainder is -11 . . . . first choice
Step-by-step explanation:
Dividing f(x) by (x -a) gives ...
f(x)/(x -a) = g(x) +r/(x -a) . . . . some quotient and a remainder r
If we multiply this expression by (x -a), we see ...
f(x) = (x -a)g(x) +r
so
f(a) = (a -a)g(a) +r . . . . . evaluate the above equation at x=a
f(a) = 0 +r
f(a) = r . . . . . . . . . a statement of the remainder theorem
If r=0, then x-a is a factor of f(x) = (x-a)g(x).
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1. We have "a" = 3, and f(3) = 0. Therefore (x-3) is a factor.
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2. We have "a" = -1, and f(-1) = -11. Therefore the remainder from division by (x+1) is -11.
Answer: (B) - 43°
Explanation: Using the sine rule, we can say that sinA/BC = sinC/AB
sin(61)/45 = sin(C)/35
sin(C) = 35sin(61)/45
sin(C) ≈ 0.680259772....
C = arcsin(0.680259772...)
C = 42.8639459...
C ≈ 43°
Good evening ,
Answer:
x = StartFraction negative 8 Over 3 EndFraction, –2
Step-by-step explanation:
3x² + 14x + 16 = 0
3x² + 6x + 8x + 16 = 0
(3x² + 6x) + (8x + 16) = 0
3x(x+2) + 8(x+2) = 0
(x+2)(3x+8) = 0
x = -2 , x = -8/3.
:)
67 divided by 19 equal 3.52631578947
hope this help
If 0.3 = 1 then 0.9 = 3 because 0.3+0.3+0.3=the 3.