All categories

3 years ago

What is 12^3-9x^2-4x+3 in factored form

Mathematics

1 answer:

galina1969 [7]3 years ago

3 0

Answer:

(3x^2 + 1) (4x – 3)

Step-by-step explanation:

12x³– 9x² + 4x – 3 in factored terms;

First, find the GCF of 12x³– 9x² + 4x – 3

3x²is a common factor in 12x³ and 9x²

we have 3x² (4x – 3) + 4x – 3

Splitting the expression into 2 groups 3x² (4x – 3) + ( 4x – 3)

4x – 3 is a common factor in both groups

Factoring 4x – 3, we have

3x² (4x – 3) + (4x – 3)

Therefore, in factored form, the equation becomes (3x² + 1) (4x – 3)

You might be interested in

look at the angles for all regular polygons.as the number of sides increases did the measures of the angles increase or decrease

SCORPION-xisa [38]

Typically when a polygon has more sides, the angles get smaller.

7 0

3 years ago

I WILL GIVE BRAINLIEST!! I really need help with this question.

Annette [7]

Answer: x = 70, y = 110, z = 85

Step-by-step explanation:

If BE = CD, then using corresponding angles (are equal), x = 70

If x = 70, then 70+y = 180 (angles on a straight line)

y = 110

And z = 85 (corresponding angles again): angle ABE = angle ACD

7 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Cbegin%7Bequation%7D%5Ctext%20%7B%20Question%3A%20Find%20the%20value%20of%20%7D%20%5Cfrac%7B

ankoles [38]

$\bold{Heya!}$

Your answer to this is:

$\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}$

<h2>→ <u>EXPLANATION :-</u></h2>

<u />

<u /> $\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: (1)$

$\sf{Apply \: rule:} \: (a) = a$

$\sf{(1) = 1$

$\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: ^. \: 1$

$\sf{\frac{1}{1 \: + \:1} = \frac{1}{2}$

$\sf{\frac{2^1^0^0}{1 \: + \: x^2^0^0} ^.^ \: 1 \: = \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}$

$\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}$

Hopefully This Helps ! ~

#LearnWithBrainly

$\underline{Answer :}$

<em>Jaceysan ~</em>

7 0

1 year ago

1.) Multiply 2ab(−a+2b+3).(1 point)

GarryVolchara [31]

Answer:

(x+3)(4x−2) = 4x2+10x−6

(x+2)(x2−3x +4) = x3−x2−2x+8

Step-by-step explanation:

8 0

2 years ago

Convert the polar coordinates (-3, -60°) to Cartesian coordinates.

notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

$r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x$

#Using the illustration above, we can express our polar coordinates as:

$-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}$

#Solve simultaneously to solve for x and y:

$(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\ y \ in\ i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6$

Hence, the Cartesian coordinates are (1.5,-2.6)

6 0

2 years ago