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1 year ago

Can somebody please explain question (i) and (ii) to me

Mathematics

1 answer:

yuradex [85]1 year ago

4 0

<h2>♨ANSWER♥</h2>

hey buddy, if u attach your question to this we can help you to find an answer for your question.

☆...hope this helps...☆

_♡_mashi_♡_

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Can u help me ASAP. i need to know how to do it step by step

12345 [234]

Answer:

19

Step-by-step explanation:

$f(x) =4x^3-8x^2+ax+b$ has a factor $2x-1$ and

when divided by $x+2$ , remainder is 20.

To find:Remainder when divided by (x-1) ?

Solution:

$2x-1$ is a factor

$2x - 1 = 0 \Rightarrow x = \frac{1}{2}$ when we put this value of x to the function, it will become 0.

i.e.

$\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)$

Remainder is 20 when f(x) is divided by $x+2$

i.e.

$f(-2) =20$

$\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)$

Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

$5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}$

By equation (1):

$a+2(18) = 3\\\Rightarrow a = -33$

So, the equation becomes:

$f(x) =4x^3-8x^2-33x+18$

$\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}$

So, when divided by (x-1), remainder will be 19.

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2 years ago

−3=z−8 Find what Z is

PolarNik [594]

Answer:

z=5

Trust me I don't know how to explain it.

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3 years ago

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A square dancing contest has 256 teams of 3 pairs each. How many dancers are participating in the contest?

stiv31 [10]

Answer:

that will be 768!!!

Step-by-step explanation:

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3 years ago

A city's population is currently 100,000. If the population doubles every 80 years, what will the population be 160 years from n

katrin2010 [14]

Answer:

Step-by-step explanation:

100,000 doubles to 200,000 in 80 years then 400,000 in 80 more years

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2 years ago

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WILL MARK BRAINLIEST

Levart [38]

Answer:

There ya go

Step-by-step explanation:

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2 years ago

Can somebody please explain question (i) and (ii) to me​

Can somebody please explain question (i) and (ii) to me