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Effectus [21]
3 years ago
14

P(x)=2x^3-11x^2+ax-40 if x+4 is a factor of this polynomial what is the value of a

Mathematics
1 answer:
Vika [28.1K]3 years ago
3 0

Answer:

a = -86.

Step-by-step explanation:

By the Factor Theorem, if x + 4 is a factor then P(-4) = 0, so:

P(-4) = 2(-4)^3 - 11(-4)^2 + a(-4)- 40 = 0

-128 - 176 - 4a - 40 = 0

-4a = 128 +176 + 40

-4a = 344

a = -86.

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7(1 - 76) - 2b = -197
noname [10]

Answer:

b= -164

Step-by-step explanation:

calculate the difference

7x(-75)-2b= -197

multiply the numbers

-525-2b= -197

move the constant to the right- hand side and change the sign

-2b= -197+525

add

-2b=328

divide

b= -164

4 0
3 years ago
Write the equation of the line in point slope form that passes through (-1, -2) and ( 1, 4).
Musya8 [376]

Answer:

y+2= 3(x+1)

Step-by-step explanation:

First you need to find slope by using y2-y1/x2-x1

you should get 3 for your slope(m)

Them you chose any point iḿ using (-1, -2)

The formula for point slope form is...

y-y1=m(x-x1)

plug those numbers in and you get

y + 2 = 3(x + 1)

6 0
3 years ago
Write the quadratic equation whose roots are 3 and -5, and whose leading coefficient is 2.
Rainbow [258]

\begin{cases} x=3\implies &x-3=0\\ x=-5\implies &x+5=0 \end{cases}\qquad \implies\qquad a(x-3)(x+5)=\stackrel{0}{y} \\\\\\ a(\stackrel{F~O~I~L}{x^2+2x-15})=y\implies \stackrel{\textit{leading coefficient of 2}}{2(x^2+2x-15)}=y\implies 2x^2+4x-30=y

Check the picture below.

5 0
2 years ago
HELPPP Put the steps to solving the equation in the correct order<br> 3 (x + 5) – 6x = -18
Neporo4naja [7]

Answer:

Its the last one I beleive not sure

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Write the next three terms in each sequence. Describe the pattern rule. in algebraic form. for example: 2, 6, 10, 14, 18, 24, 28
loris [4]

Answer:

C

Step-by-step explanation: The rule is you add 1 more each numer. Continuing this it would be 15,21,28, etc.

5 0
2 years ago
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