1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Digiron [165]
1 year ago
15

Consider the expansion of (x^2+px-3)(3x-5),where p is a constant.If the coefficient of x of the expansion is -44,find the value

of p
Mathematics
1 answer:
V125BC [204]1 year ago
4 0

Answer:

p = 7

Step-by-step explanation:

(x² + px - 3)(3x - 5)

each term in the second factor is multiplied by each term in the first factor, that is

x²(3x - 5) + px(3x - 5) - 3(3x - 5) ← distribute parenthesis

= 3x³ - 5x² + 3px² - 5px - 9x + 15 ← collect like terms

= 3x³ +x²(3p - 5) - x(5p + 9) + 15

given the coefficient of the x- term is - 44 , then

-(5p + 9) = - 44 ← - (5p + 9) is th coefficient of x in the expansion

- 5p - 9 = - 44 ( add 9 to both sides )

- 5p = - 35 ( divide both sides by - 5 )

p = 7

You might be interested in
Solve the system of equations <br> y=-2/3x+1 and x+y=4
LUCKY_DIMON [66]

Answer:

Point form: (9,-5)

Step-by-step explanation:

y=-2/3x+1 and x+y=4

Point form: (9,-5)

Equation form: x = 9, y = -5

3 0
3 years ago
Find the x-intercepts of the following parabola. y = -4x2 + 8x + 12
Marta_Voda [28]
B. is the answer dude
3 0
2 years ago
Read 2 more answers
Pls help
alisha [4.7K]

Answer:

i think it would be 11 cups

3 0
3 years ago
2x^2 + 3x - 12 when x = 5 help pls
cluponka [151]

\huge\textsf{Hey there!}

\mathsf{2x^2 + 3x - 12}

\mathsf{= 2(5)^2 + 3(5) - 12}

\mathsf{5^2}

\mathsf{= 5 \times 5}

\mathsf{\bf = 25}

\mathsf{2(25) + 3(5) - 12}

\mathsf{2(25)}

\mathsf{= \bf 50}

\mathsf{3(5)}

\mathsf{= \bf 15}

\mathsf{= 50 + 15 -  12}

\mathsf{50 + 15}

\mathsf{= \bf 65}

65 - 12

\mathsf{= \bf 53}

\boxed{\boxed{\huge\textsf{Answer: \bf 53}}}\huge\checkmark

\large\textsf{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

5 0
2 years ago
Read 2 more answers
Can someone help me with this? I'm kinda confused.
ella [17]

Answer:

C-cashews cost $9.50 pound

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Concert unit rate 345 ft/ 1 min to ft/hrs
    7·1 answer
  • a pair of adjacent side of a rectangle are in the ratio 3 : 4 if its diagonal is 20 cm find the length of sides and hence the pe
    15·1 answer
  • 19. Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita
    14·2 answers
  • Ryan throws a ball into the air from a height of 5 feet above the ground. The equation for the height of the ball in feet, y, af
    10·1 answer
  • The factorization of a trinomial is modeled with algebra tiles. Which trinomial is factored? x2 + 3x – 6 x2 + 5x – 6 x2 + 3x – 2
    14·1 answer
  • 29. A DVD player has a list price of $120. The
    13·1 answer
  • Please Help &amp; Thank You
    6·1 answer
  • A lift in a building starts with 7 passengers and stops at 10 floors.if each passenger is equally likely to get off at any floor
    12·1 answer
  • What is the image point of (-1,-7) after a translation left 4 units and up 2 units?
    9·1 answer
  • If tan of theta =3/4 what is sec of theta​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!