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evablogger [386]
3 years ago
9

Factor the trinomial 3x ^ 2 + 8x + 4

Mathematics
1 answer:
zvonat [6]3 years ago
5 0

Answer:

(3x+2) (x+2)

Step-by-step explanation:

For a polynomial of the form ax^2 + bx + c  and rewrite the middle term as a sum of two terms whose product is a ⋅ c = 3 ⋅ 4 = 12 and whose sum is b = 8

Factor 8 out of 8x

  3x^2 + 8 (x) + 4

Rewrite 8 as 2 plus 6

    3x^2 + (2+6) x + 4

Apply the distributive property

   3x^2 + 2x + 6x +4

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(3x^2 + 2x) + 6x + 4

Factor out the greatest common factor (GCF) from each group.

x(3x+2) + 2(3x+2)

Factor the polynomial by factoring out the greatest common factor,

3x + 2.

Answer: (3x+2) (x+2)

Hope that helps! :)

⋅

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Need help question #3. Show steps please
Oksana_A [137]

Answer:

B.

Step-by-step explanation:

We are given:

\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx

And we want to select its equivalent form.

Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.

We can simply rewrite and then distribute. First, by rewriting:

\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx

Distribute. Recall exponent properties;

\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx

Simplify:

\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx

This can then be separated (since its addition/subtraction) and integrated individually.

Hence, our answer is B.

8 0
2 years ago
Find an equation for the line that passes through the points (1. - 4) and (-5.4).
DIA [1.3K]

Answer:

y=-4/3x-8/3

Step-by-step explanation:

Use the slope formula y2-y1/x2-x1

Finding the slope, 4-(-4)/-5-1 = 8/-6 = -4/3

y=-4/3x + b

Substituting,

-4=-4/3+b

-12/3+4/3=b

b=-8/3

y=-4/3x-8/3

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2 years ago
PLEASE HURRY THIS IS DUE IN 10 MINUTES AND I AM REALLY CONFUSED!!
Harrizon [31]

Answer:

A. 8 beads per bracelet.

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3 years ago
What are the possible values of x in 32x + 20 = 28x − 16x2?
klemol [59]
<span>No two such factors can be found

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