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3 years ago

Write the factored form of each trinomial. x^2 + 11x +28

Mathematics

2 answers:

Marina CMI [18]3 years ago

8 0

Answer:=

=(x^2+4x)+(7x+28)

=x(x+4)+7(x+4)

=(x+4)(x+7)

Step-by-step explanation:

yarga [219]3 years ago

5 0

Answer:

$(x+4) (x+7)$

Step-by-step explanation:

Factor x^2 + 11x + 28 using the AC method.

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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.

4 0

2 years ago

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Carrie has 300 marbles 25 of the marbles are green 15% of the marbles are red and the rest of the marbles are blue how many blue

Rus_ich [418]

Answer:

230.

Step-by-step explanation:

$\: \: \: \: 300 - 25 - \frac{15}{100} \times 300 = \\ = 275 - 45 = \\ = 230$

Hope this helps!

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3 years ago

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alex41 [277]

Answer:

Option 2

Step-by-step explanation:

It's a rotation

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VMariaS [17]

Answer:

Square I think

Step-by-step explanation:

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den301095 [7]

Bro the answer to that is 5

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