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:
$144
Step-by-step explanation:
Volume of the pyramid = 1/3BH
Base area B = 1/2 * 6 * 4
Base area B = 12 ft²
Height H = 4ft
Volume of the pyramid = 12 * 4
Volume of the pyramid = 48ft³
SInce 1 ft³ = $3
48ft³ = x
Cross multiply
x = 3 * 48
x = 144
Hence the cost of the sign is $144
False. In a two-column proof, the right column states your reasons.
3.5 kg:800g
3500g:800g
35g:8g
The number of variables in the problem is 3