Answered

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

A(z − 5)(z − 5)
B(z + 5)(z + 5)
C(z − 2)(z + 5)
D(z + 2)(z − 5)

Verified Answer :

InesWalston

Solution-

As the question is not complete so contemplating all the possible scenarios,

1st - z² + 10z + 25

2nd - z² - 10z + 25


For,

\(z^2 + 10z + 25 = (z)^2+2.z.5+(5)^2 = (z+5)^2=(z+5)(z+5)\)


And for,

\(z^2 - 10z + 25 = (z)^2-2.z.5+(5)^2 = (z-5)^2=(z-5)(z-5)\)


So, the factored form of the polynomials are,

\((z+5)(z+5) \ and \ (z-5)(z-5)\)

The factors of the equation  z² - 10z + 25 are (z − 5)(z − 5).

Given Equation;

z² - 10z + 25

What are the factors?

Splitting the middle term Using formula Using Quadratic formula Using algebraic identities.

The factors of the equation are;

z² - 10z + 25

z² -5z -5z  + 25

z(z − 5) - 5(z − 5)

(z − 5)(z − 5)

Hence, the factors of the equation z² - 10z + 25 are (z − 5)(z − 5).

To know more about factors click the link given below.

brainly.com/question/19405324

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