Ahyxz12idn
Answered

Makakuha ng detalyadong mga sagot sa lahat ng iyong tanong sa IDNStudy.com. Magtanong at makakuha ng detalyadong sagot mula sa aming komunidad ng mga eksperto na may kaalaman.

Factor each completely, if possible. If the polynomial is not factorable state prime.

4x² + 4x - 15
Final Answer:
Solution:

Report pag nonsense​

Sagot :

Martusjenylynidn

Answer:

To factor the polynomial 4x² + 4x - 15, we can use the method of grouping.

View image Martusjenylyn
View image Martusjenylyn
MrChrisidn

[tex]\underline{\underline{\large{\red{\mathcal{✒GIVEN:}}}}}[/tex]

[tex]\bullet \: \: \rm{4{x}^{2}+4x-15}[/tex]

[tex]\underline{\underline{\large{\red{\mathcal{REQUIRED:}}}}}[/tex]

Factor each completely, if possible. If polynomial is not factorable state prime.

[tex]\underline{\underline{\large{\red{\mathcal{SOLUTION:}}}}}[/tex]

Two numbers that multiply to the product of the coefficient of [tex]\rm{x^{2}}[/tex] term and the constant term [tex]\tt{(4) \times (-15) =-60}[/tex] and add up to the coefficient of the x term 4. These numbers are 10 and -6:

[tex]\tt{10 \times ( - 6) = - 60}[/tex]

[tex]\tt{10 +(-6)=4}[/tex]

Rewrite the middle term using these numbers:

[tex]\small{\tt{ \implies {4x}^{2} + 10x - 6x - 15 = ( {4x}^{2} + 10) + ( - 6x - 15)}}[/tex]

[tex]\tt{ = 2x(2x + 5) - 3(2x + 5)}[/tex]

[tex]\large{\boxed{\tt{\purple{(2x-3)(2x+5)}}}}[/tex]

Final Answer:

The polynomial is factored completed as:

[tex]\large{\rm{\purple{(2x-3)(2x+5)}}}[/tex]

Maraming salamat sa iyong presensya. Patuloy na magbahagi ng impormasyon at karanasan. Sama-sama tayong magtutulungan upang makamit ang mas mataas na antas ng karunungan. Sa IDNStudy.com, kami ay nangako na magbigay ng pinakamahusay na mga sagot. Salamat at sa muling pagkikita.