Consider a game in which you draw playing cards from a standard 52-card deck, one at a time. If a player draws a face card (a ja
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<span>We have the following polynomial:
The problem states that one root is -3. Thus, it is true that
is a factor of the polynomial. Given that this is fulfilled, it is also true that:
</span>
<span>
We can find Q(x) by applying Ruffini's rule, thus:
</span>
<span>
Therefore:
The roots of this polynomial can be get as follows:
These are the roots along with
. Finally, the factored polynomial can be written as follows:
</span>
The problem states that one root is -3. Thus, it is true that
</span>
We can find Q(x) by applying Ruffini's rule, thus:
</span>
Therefore:
The roots of this polynomial can be get as follows:
These are the roots along with
First solve the first equation for 'y'
3x - y = 4 subtract 3x from both sides
-y = -3x + 4 divide both sides by -1
y = 3x - 4 Now take this equation and substitute into the second equation:
5x + 3y = 9
5x + 3(3x - 4) = 9
5x + 9x - 12 = 9
14x - 12 = 9
14x = 9 + 12
14x = 21
x =
or 1.5
Now substitute this value for 'x' into either of the first two equations to find 'y'
I'll use the equation
y = 3x - 4
y = 3(1.5) - 4
y = 0.5
So your solution is (1.5, 0.5)
3x - y = 4 subtract 3x from both sides
-y = -3x + 4 divide both sides by -1
y = 3x - 4 Now take this equation and substitute into the second equation:
5x + 3y = 9
5x + 3(3x - 4) = 9
5x + 9x - 12 = 9
14x - 12 = 9
14x = 9 + 12
14x = 21
x =
Now substitute this value for 'x' into either of the first two equations to find 'y'
I'll use the equation
y = 3x - 4
y = 3(1.5) - 4
y = 0.5
So your solution is (1.5, 0.5)