What is the factored form of the polynomial? z2 − 10z + 25

(z−5)(z−5)

Step-by-step explanation:

Let's factor z2−10z+25

z2−10z+25

The middle number is -10 and the last number is 25.

Factoring means we want something like

(z+_)(z+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -10

Multiply together to get 25

Can you think of the two numbers?

Try -5 and -5:

-5+-5 = -10

-5*-5 = 25

Fill in the blanks in

(z+_)(z+_)

with -5 and -5 to get...

(z-5)(z-5)

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