Answered

Join the IDNLearn.com community and start exploring a world of knowledge today. Ask your questions and receive accurate, in-depth answers from our knowledgeable community members.

Pascha is factoring the polynomial, which has four terms.


3x3 – 15x2 + 8x – 40


3x2(x – 5) + 8(x – 5)


Which is the completely factored form of her polynomial?


(3x2 – 5) (x + 8)

(3x2 – 8) (x + 5)

(3x2 + 8) (x – 5)

(3x2 + 5) (x – 8)

Sagot :

MrRoyalidn

Answer:

[tex](3x^2 + 8)(x - 5)[/tex]

Step-by-step explanation:

Given

[tex]3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)[/tex]

Required

Complete the factorization

[tex]3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)[/tex]

When an equation is factorized as:

[tex]a(b + c) + d(b + c)[/tex]

The complete expression is:

[tex](a + d)(b + c)[/tex]

Apply this logic in [tex]3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)[/tex]

By comparison:

[tex]a = 3x^2; b = x; c = -5; d = 8[/tex]

So, we have:

[tex]3x^3 - 15x^2 + 8x - 40 = (3x^2 + 8)(x - 5)[/tex]

Hence,

[tex](3x^2 + 8)(x - 5)[/tex] is the complete factor

04alyrod75983idn

Answer:

c

Step-by-step explanation:

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.