How to simplify 5k + 3 + 2j – 2 – k
2 answers:
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Answer:
The numbers are 12 and 3.
Step-by-step explanation:
We can solve this problem by working with the information we have and setting up some equations.
We know that one number is four times as large as another. So, let the smaller number be represented by the variable x and the bigger number be represented by 4x, since it is four times as large.
Now, we know that if the numbers are added together, then the result is six less than seven times the smaller number. This can also be represented by the equation 4x + x = 7x - 6.
Let's solve that equation like so:
So, the smaller number must be 3 (remember that x represented the smaller number). To find the bigger number, all we need to do is multiply 3 by 4, which gives us 12. Therefore, the numbers are 12 and 3.
If is a factor of the polynomial, it means that
is a root of the polynomial.
In fact, if a polynomial has a root
(i.e.
), then the polynomial is divisible by
In your case, you know that the polynomial is divisible by , so
is a solution.
Let's evaluate and set it to zero:
We can check the answer: if the polynomial becomes
And we're claiming that is a root of this polynomial: