The factor of the polynomial is option (D) (2x+5)^2 is the correct answer.
In this question,
Factorization is the breaking or decomposition of an entity (i.e.,) a number, a matrix, or a polynomial into a product of another entity, or factors, which when multiplied together give the original number. Factorize an expression involves take out the greatest common factor (GCF) of all the terms.
The polynomial is [tex]4x^{2} +20x+25[/tex]
The above polynomial can be factored as
⇒ [tex]4x^{2} +20x+25=0[/tex]
⇒ [tex](2x)^{2}+2(2x)(5)+5^{2}[/tex]
⇒ [tex](2x+5)^{2}[/tex]
Hence we can conclude that the factor of the polynomial is option (D)(2x+5)^2 is the correct answer.
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