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

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

Based on Chief Joseph’s message in "An Indian's View of Indian Affairs," the Nez Percé people most likely value A. land, ownership, and friendship.B. family, pr

WILL BE MARKED BRAINLIESTSolve the compound inequality 6b < 36 or 2b + 12 > 6. b < 6 or b > 6 b < 6 or b > 3 b > 6 or b < −3 b < 6

Which group of numbers is in order from least to greatest 2.58, 2 2/3, 2.6, 2.58

A company purchased $1,800 of merchandise on July 5 with terms 2/10, n/30. On July 7, it returned $200 worth of merchandise. On July 12, it paid the full amount

a) How many significant figures are in the numbers 99 and 100? (b) If the uncertainty in each number is 1, what is the percent uncertainty in each? (c) Which is

Assume that Horicon Corp acquired 25% of the common stock of Sheboygan Corp. on January 1 for $300,000. During the year Sheboygan Corp. reported net income of $

You are the administrator of an organization with a single Active Directory domain. One of your senior executives tries to log onto a machine and receives the e

A contractor can pay his crew at most $425 a day. It costs $80 each day to operate the forklift and $65 a day for each crew member. Write an inequality to repre

You bought a stock one year ago for $50.00 per share and sold it today for $55.00 per share. It paid a $1.00 per share dividend today. a. What was your reali

Why do you think the colonists felt obligated to tell the world that they had petitioned the King of Great Britain on several occasions to correct his wrongs?