Respuesta :

Given :

  • Find the gcf of the first two terms and the GCF of the last two terms for the polynomial.

[tex] \qquad \longrightarrow \sf \: 5p {}^{3} + 10 {p}^{2} + 3p + 6[/tex]

Solution :

The first two terms of the polynomials are :

[tex]\qquad \longrightarrow \sf \: 5p {}^{3} + 10 {p}^{2} [/tex]

[tex]\qquad \longrightarrow \sf \: 5p {}^{2} (p + 2)[/tex]

Therefore,

  • Their Greatest common factor is 5p² .

The last two terms of the polynomials are :

[tex]\qquad \longrightarrow \sf \: 3p + 6[/tex]

[tex]\qquad \longrightarrow \sf \: 3(p + 2)[/tex]

Therefore,

  • Their Greatest common factor is 3 .
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