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What is the factored form of the polynomial?

[tex]\( 10z + 25 \)[/tex]

A. [tex]\((z-5)(z-5)\)[/tex]
B. [tex]\((z-2)(z+5)\)[/tex]

Sagot :

GinnyAnswer
To factor the polynomial [tex]\(10z + 25\)[/tex], let's break down the steps:

1. Identify the Greatest Common Factor (GCF): First, we need to find the GCF of the terms in the polynomial [tex]\(10z\)[/tex] and [tex]\(25\)[/tex].

The GCF of [tex]\(10z\)[/tex] and [tex]\(25\)[/tex] is [tex]\(5\)[/tex] because both 10 and 25 are divisible by 5.

2. Factor Out the GCF: We factor out the GCF from each term in the polynomial.

[tex]\[ 10z + 25 = 5 \cdot 2z + 5 \cdot 5 \][/tex]

3. Rewrite the Expression: After factoring out the GCF, rewrite the polynomial:

[tex]\[ 10z + 25 = 5(2z + 5) \][/tex]

Therefore, the factored form of the polynomial [tex]\(10z + 25\)[/tex] is [tex]\(5(2z + 5)\)[/tex]. This matches the result [tex]\(5(2z + 5)\)[/tex].
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