Mathematics, 01.03.2020 20:44 dianamachado14

Use the Remainder Theorem to find the remainder for (4x^3+4x^2+2x+3)/(x-1) and state whether or not the binomial is a factor of the polynomial.

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Answer from: breniljakenotro

The remainder = 13.

Step-by-step explanation:

By the Remainder Theorem the remainder when the function is divided by

x - 1 is f(1).

f(1) = 4(1)^3 + 4(1)^2 + 2(1) + 3

= 4 + 4 + 2 + 3

= 13.

So x - 1 is not a factor of f(x).

If it was a factor the remainder would be 0.

Answer from: dakotaadkins20

The remainder theorem states that when a polynomial is divided by a binomial, the value that makes the binomial equal 0 can be substituted into the polynomial to obtain the remainder.

In other words, we can plug in 1 into the polynomial, as (1 - 1) = 0

4(1)^3 + 4(1)^2 + 2(1) + 3 =

4 + 4 + 2 + 3 = 13

As the polynomial equals 13, the remainder when the polynomial is divided is 13/(x -1), so it’s NOT a factor of the polynomial.

If the remainder were 0, then (x - 1) WOULD be a factor of the polynomial, but it’s not.

To sum it up, the remainder is 13/(x - 1), and the binomial is NOT a factor of the polynomial.

Answer from: Quest

You have 2 sides that are 2 cms and you have 6 sides that are 1/2 cm and you have 4 sides that are 1 cm. the smallest sides are 1/2 the medium sized sides are 1 and the smallest are 1/2. so to find the perimeter you have to add them all up together so your answer will be 11 cm's

Answer from: Quest

answer:

total cost for tiles and paints is $924.

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

$\text{area of walls and ceiling}=(2*40*15)+(2*3*15)+(40*3)$

$\text{area of walls and ceiling}=1200+90+120$

$\text{area of walls and ceiling}=1410$

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

$\text{ the total painting cost}=10*(\frac{1410}{25})$

$\text{ the total painting cost}=10*56.4=564$

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

$\text{area of floor} = 40*3\text{ square meters}$

$\text{area of floor} =120\text{ square meters}$

given: 1m squared floor tiles costs $3. so,

$\text{total cost for tiles} = 3*120 = 360$

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

$\text{combined total cost}= 564+360 = 924$

therefore, the combined total cost of tiles and paint is $924.

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Use the Remainder Theorem to find the remainder for (4x^3+4x^2+2x+3)/(x-1) and state whether or not...

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