prcrocks77
prcrocks77 prcrocks77
  • 10-09-2016
  • Mathematics
contestada

If x-3 and x-1/3 are both factors of of ax^2+5x+ab,then show that a=-3/2

Respuesta :

umermjd11
umermjd11 umermjd11
  • 10-09-2016
since x-3 and x-1/3 are factors

(x-3)(x-1/3)= x²-3x-(1/3)x+1= x²-(10/3)x+1

to make -(10/3)x to 5x multiply by -(3/10)*5= -3/2

-(3/2)(x-3)(x-1/3)= -(3/2)x²+5x-3/2

Now by comparing -(3/2)x²+5x-3/2 with ax^2+5x+ab

you can see that a= -3/2
Answer Link

Otras preguntas

Someone please help ASAP!!! I need both of these done before 12:00!!! Giving brainliest to best answer!!! you can do it!!
Please help with algebra
what method of development is used in this document ?
Donte bought a computer that was 20% off the regular price $1,080. If an 8% sales tax was added to the cost of the computer, what was the total price donte paid
find the area of the circle. Use 3.14 for π. do NOT round your answer.
There was much debate over the ratification of the Constitution. Choose either the Federalist or anti-Federalist position and argue the legitimacy of the Consti
solve for x ![tex]x {}^{2} - 36 = 0[/tex]thankyou ~​
What effects did Napoleon intend the sale of Louisiana to have on France? the United States? or Britain?
Who designed the apple i computer in 1976? steve wozniak richard stallman paul allen konrad zuse
What is the name of the point where two bones meet and are held together by ligaments? (Please choose one of the answer choices below - Thank you~) A) tendons B