amazingsoccerplayer6 amazingsoccerplayer6
  • 25-06-2020
  • Mathematics
contestada

The factorization of 8x3 – 125 is (2x – 5)(jx2 + kx + 25). What are the values of j and k

Respuesta :

09pqr4sT
09pqr4sT 09pqr4sT
  • 25-06-2020

Answer:

[tex]j=4\\k=10[/tex]

Step-by-step explanation:

[tex]8x^3 - 125[/tex]

[tex]\left(2x\right)^3-5^3[/tex]

Use this formula:

[tex]x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right)[/tex]

Where,

[tex]x=2x\\y=5[/tex]

Substitute in the values.

[tex]\left(2x\right)^3-5^3=\left(2x-5\right)\left(2^2x^2+5\cdot \:2x+5^2\right)[/tex]

[tex]\left(2x-5\right)\left(4x^2+10x+25\right)[/tex]

Answer Link

Otras preguntas

what is the land between two normal faults that may be uplifted to form?
i don't get area and the distributive property
solve for m  p=2m+2w       what does m=
A bag contains 12 slips of paper of the same size. Each slip has one number on it, 1-12. Describe an impossible event.
How are the structures of arteries, capillaries, and veins similar? How are they different?
dx+hy=j,forx   x=    thanx for any and all help
How do you have factor y=6x²+24x-192 and find the zeros?
Which of the following statements about subatomic particles best characterizes electrons? A positive charge, light, circling the nucleusB no charge, heavy, foun
Please answer any of these thanks !
What Are Genre Conventions?