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miss Akunina [59]
2 years ago
8

I'll mark brainliest pls solve it。◕‿◕。

" title="y = 2( - 3) + 3" alt="y = 2( - 3) + 3" align="absmiddle" class="latex-formula">

​
Mathematics
1 answer:
USPshnik [31]2 years ago
5 0

Answer:

Multiply , add and then you get your solution.

Step-by-step explanation:

y=2(-3)+3

y= -6+3

y= -3

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2x^3-x^2+x-2 factorize​
bekas [8.4K]

Answer:

(x-1)(2x^2+x+2)

Step-by-step explanation:

Factorize:

f(x)=2x^3-x^2+x-2

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

\implies f(1)=2(1)^3-1^2+1-2=0

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

\implies  f(x)=(x-1)(ax^2+bx+c)

Expanding the brackets:

\implies  f(x)=ax^3+bx^2+cx-ax^2-bx-c

\implies  f(x)=ax^3+(b-a)x^2+(c-b)x-c

Comparing coefficients with the original polynomial:

\implies ax^3=2x^3 \implies a=2

\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1

\implies -c=-2 \implies c=2

Therefore:

\implies  f(x)=(x-1)(2x^2+x+2)

Cannot be factored any further.

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Answer:

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Step-by-step explanation:

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Answer: Yes!


Step-by-step explanation:

You correctly answered!

4 0
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