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3 years ago

Which numbers are composite numbers? Select all that are true

Mathematics

2 answers:

svet-max [94.6K]3 years ago

5 0

Answer:

49 35 32

Step-by-step explanation:

GuDViN [60]3 years ago

3 0

Answer:

Hope this helped!

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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:

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

Factor Theorem

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.

4 0

2 years ago

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If a work group consistently achieves 80 % of its quarterly goals and the work group generally has 25 objectives per quarter how

arlik [135]

20 objectives per quarter.

6 0

3 years ago

Geometry... help me pls

nikklg [1K]

Answer: (-5,1)

Step-by-step explanation:

To the left 5 units turns our 0 into negative 5 (-5) and going down on the y axis by 1 is 1 instead of 2 so the new point is (-5,1)

3 0

3 years ago

Simplify: x(x-2)-3x(2x-1)

julsineya [31]

Answer:

-5x^2 +x

Step-by-step explanation:

x(x-2)-3x(2x-1)

Distribute

x^2 -2x -6x^2 +3x

Combine like terms

-5x^2 +x

4 0

3 years ago

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Which ordered pair is a solution of the equation?

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

Only (4, -1)

5 0

3 years ago