jamesgoodland1 jamesgoodland1
  • 25-02-2021
  • Mathematics
contestada

(x+5)(x-4)(x+2) is identical to x^3+ax^2

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 02-03-2021

Answer:

a = 3

Step-by-step explanation:

Factorize (x+5)(x-4)(x+2)

(x+5)(x-4)(x+2)

=  (x²-4x+5x-20)(x+2)

= (x²+x-20)(x+2)

= (x³+2x²+x²+2x-20x-40)

= x³+3x²-18x -40

Compare with x^3+ax^2

3x² = ax²

3 = a

Rearrange

a = 3

Hence the value of a that makes the expressions identical is 3

Answer Link

Otras preguntas

If you draw all of the diagonals from a single vertex of a convex polygon with 8 sides, how many triangles are formed?
Daniel, Emily and Thalia are attending an athletic camp this summer. They were told they had to monitor the amount of water they drink daily. The first day, Dan
Solve on the interval [0,2pi) 2sin^2x-3sinx+1=0
The circulation of a newsletter decreased from 3,200 to 2,464. What was the percent of decrease in circulation?
Which words in the sentence are the complete noun clause? In her math course, Jenna learned what fractions mean. A. fractions mean B. Jenna learned what C.
Question 6 In which state of matter do the particles move the MOST freely? solid liquid gas 3 points Question 7 In which state of matter
Find the solution set of this inequality enter in interval notation using grouping symbols. |-4x - 14|<6
if i make 7.25 an hour and work 4 hours a day for five days how much will i make
(a - b)(a 2 + ab + b 2)
What layer of the earth is moving during an earthquake? Core Mantle plates Lithospheric plates Mesopheric plates