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Mama L [17]
4 years ago
9

Given that (x - 2) is a factor of this polynomial, use the Factor Theorem to find the value of a.

Mathematics
1 answer:
IceJOKER [234]4 years ago
8 0
The factor theorem states that if (x-a) is a factor of P(x) the P(a) = 0  so we can write, for this polynomial:

2^(4) - 3(2)^3 + A(2)^2 - 6(2) + 14 = 0

16 - 24 + 4A - 12 + 14 = 0
4A =  -16+24 + 12 - 14 =  6
A = 6/4 = 1.5
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Given the function f(x) = 6(x+2) − 3, solve for the inverse function when x = 21.
vlada-n [284]
Inverse, baseically
replace f(x) with y
switch all x and y
solve for y
replace y with f⁻¹(x)

f(x)=6(x+2)-3
replace with y
y=6(x+2)-3
switch x and y
x=6(y+2)-3
solve for y
x=6y+12-3
x=6y+9
minus 9
x-9=6y
divide 6
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replace
f⁻¹(x)=1/6x-3/2

when x=21
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f⁻¹(21)=12/6=
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answer is f⁻¹(21)=2
inverse function is
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5 0
3 years ago
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