Question

Factor k2 - 17k + 16. (k - 2)(k - 8) (k - 1)(k + 16) (k - 1)(k - 16)

Answer 1

Answer:

The answer is $(k-1)(k-16)$

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

$-16*-1=16\\(-16)+(-1)=-17$

So, the factoring of the expression is:

$(k-1)(k-16)$

Answer 2

The factorised form of k2 - 17 k + 16

= the third one ...
(k-1)(k-16)

because the two numbers in the brackets, -1 and -16, must add to give the middle number of the quadratic, -17, and must multiply to give the integer on the right, 16,