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2 years ago

What is the factorization of the trinomial below 4x2+28x+48

Mathematics

2 answers:

Lisa [10]2 years ago

7 0

Answer:

$4x^2 + 28x +48 = 4(x+4)(x+3)$

Step-by-step explanation:

We are given the following information in the equation:

$4x^2 + 28x +48$

We have to factorize the given expression.

We will use the technique of splitting the middle term to factorize.

Factorization can be done in the following manner:

$4x^2 + 28x +48\\\Rightarrow 4(x^2 + 7x + 12)\\\Rightarrow 4(x^2 + 4x + 3x + 12)\\\Rightarrow 4[x(x+4)+3(x+4)]\\\Rightarrow 4(x+3)(x+4)$

Hence, the given expression can be factorized as:

$4x^2 + 28x +48 = 4(x+4)(x+3)$

belka [17]2 years ago

3 0

Answer:

4(x +3)(x +4)

Step-by-step explanation:

First of all, recognize that each coefficient is a multiple of 4.

Factoring that out makes it easier to see that you need factors of 12 that add to give 7. Those are not hard to find as being 3 and 4. These numbers go into the binomial factors to give ...

... 4x^2 +28x +48 = 4(x^2 +7x +12) = 4(x +3)(x +4)

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Step-by-step explanation:

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3 years ago

Read 2 more answers

The sun produces 3.9 ⋅ 10 to the 33th power ergs of radiant energy per second. How many ergs of radiant energy does the sun prod

arlik [135]

So the sun produces 3.9x10³³/ second

Using this ratio (3.9x10³³/ second) we can use the porpotions to calculate time taken (T) to produce 1.55x10⁷.

$\frac{3.9(10^3) ergs}{1 second} = \frac{1.55(10^7)ergs}{T}$

Then isolate T and find the time

$\frac{T3.9(10^3)ergs}{1 second} = {1.55(10^7)ergs$
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$T = \frac{(1.55(10^7)ergs)seconds}{3.9(10^3)ergs}$
$T = \frac{(1.55(10^7)seconds}{3.9(10^3)}$
$T = \frac{1.55}{3.9}(10^4)seconds$
$T = 0.397(10^4)seconds$
$T = 3.97(10^-^1)(10^4)seconds$
$T = 3.97(10^3)seconds$

Thus it took 3.97x10³ seconds for 1.55x10⁷. of ergs to be produced
Hope that helped and if it did, a Brainliest rating would be much appreciated

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