I don't like dividing polynomials so I'm going to set x=1 and try them out.
(1-2-14+3)/4 = -3
Of the choices, only D gives -3 when x=1
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That's as much test-taking as math. If we were to divide
x^2 - 5x + 1
-------------------------------
x + 3 | x^3 - 2x^2 - 14x + 3
x^3 + 3x^2
-5x^2 - 14x
5x^2 + 15x
x + 3
x + 3
More work, still choice D
It should be A-one solution
Hey there :)
We know the formula for simple interest is
I = prt
{ The picture includes what each stands for }
Lehena:Initial amount = $100
Interest rate = 2.5% =
Time = 3 years
I = ( 100 )( 0.025 )( 3 )
= 7.5$
Total = $100 + $7.5 =
$107.5Marty:Initial amount = $100
Interest rate = 2% =
Time = 3 years
I = ( 100 )( 0.02 )( 3 )
= $6
Total = $100 + $6 =
$106How much more than Marty did Lehena receive?= Total Amount of Lehena - Total Amount of Marty
= 107.5 - 106
= $1.5Your answer will be option
B) $1.50
You're trying to find constants
such that
. Equivalently, you're looking for the least-square solution to the following matrix equation.
To solve
, multiply both sides by the transpose of
, which introduces an invertible square matrix on the LHS.
Computing this, you'd find that
which means the first choice is correct.