Find the value of c so that (x+2) is a factor of the polynomial p(x). p(x)=4x^3+cx^2+x+2

Mathematics

1 answer:

Wittaler [7]3 years ago

6 0

Answer:

c = 8

Step-by-step explanation:

Use synthetic division here; it's the fastest approach.

Given that (x + 2) is a factor, take -2 and use this as the divisor in synthetic division:

-2 4 c 1 2

-8 (-2c+ 16) (4c-34)

---------------------------------------------

4 (c - 8) (-2c + 17) 4c - 32

The remainder, 4c - 32, must equal zero if (x + 2) is a factor.

Then 4c - 32 = 0, and c = 8

You might be interested in

Use geometry software to create a visually interesting or artistic design that incorporates elements you have learned in this co

yanalaym [24]

Use TrianCal to draw a triangle with phi as Great Piramid (minimum perimeter given 2 equal heights) = maximun stability.

NOTE: Phi=(1+√5)/2≈1.62 and acos(1/Phi)≈51.83º

8 0

3 years ago

An ANOVA procedure for a two-factor factorial experiment produced the following: a = 6, b = 2, r = 2, SSA = 1.05, SSB = 16.67, S

rusak2 [61]

Answer:

Which is the output of the formula =AND(12>6;6>3;3>9)?

TRUE

FALSE

6 0

3 years ago

In △ABC, AB=9.2 ft, BC=11.9 ft, and m∠B=27°.

Rashid [163]

Area of triangle = 1/2 ab sin c
Area of triangle = 1/2 (9.2)(11.9) sin (27)
Area of triangle = 24.85 ft²

-----------------------------------------------------------------------
Answer: Area - 24.85 ft²
-----------------------------------------------------------------------

3 0

4 years ago

T-Shirts & More Print Shop will print any image on a coffee mug for a cost of $2 per mug and a one-time charge of $12 to set

viktelen [127]

T-Shirts $ More Shop: Final cost = 2m + 12

m = mug

You Say It, We Print It: Final Cost = 5m

If you buy 5 mugs from both place:

2 * 5 = 10

10 + 12 = 22

$22 for T-Shirts & More

5 * 5 = $25