Factor k2 - 17k + 16. (k - 2)(k - 8) (k - 1)(k + 16) (k - 1)(k - 16)
2 answers:
Answer:
The answer is
Step-by-step explanation:
In order to determine the answer, we have to know about factoring algebraic expressions.
The rules are:
- Find two numbers that the result of multiplying both is the number without variable.
- Find two numbers that the result of adding both is the coefficient next to the linear variable.
The numbers must fulfil the two rules. Also the algebraic expression has to contain just one variable, square and linear.
So, for this case:
-16 and -1
So, the factoring of the expression is:
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<h2>Hello!</h2>
The answer is:
The polynomial that can be simplified to a difference of squares is the second polynomial:
To solve this problem, we need to look for which of the given quadratic terms given for the different polynomials can be a result of squaring (elevating by two).
So,
Discarding, we have:
The quadratic terms of the given polynomials are:
We have that the coefficients of the quadratic terms that can be obtained by squaring are:
The other two coefficients are not perfect squares since they can not be obtained by square rooting whole numbers.
So, the first and the fourth polynomial are discarded and cannot be simplified to a difference of squares at least using whole numbers.
Therefore, we need to work with the second and the third polynomial.
For the second polynomial, we have:
So, the second polynomial can be simplified to a difference of squares.
For the third polynomial, we have:
So, the third polynomial cannot be simplified to a difference of squares since it's a sum of squares.
Hence, the polynomial that can be simplified to a difference of squares is the second polynomial: