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GenaCL600 [577]
3 years ago
7

Factor completely 3x3 + 12x2 + 18x.

Mathematics
2 answers:
Sedbober [7]3 years ago
6 0

Step-by-step explanation:

solved in the picture....

egoroff_w [7]3 years ago
4 0

Answer:

The factored form of the given expression is 3x(x^2+4x+6).

Step-by-step explanation:

The given expression is

3x^3+12x^2+18x

we need to find the factored form of the given expression.

Taking GCF common, we get

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

If a quadratic expression is defined as ax^2+bx+c and

b^2-4ac, then the expression can not be factored further.

In the above parentheses the quadratic expression is x^2+4x+6,

b^2-4ac=(4)^2-4(1)(6)=-8

It means the quadratic expression is x^2+4x+6 can not be factored further.

Therefore the factored form of the given expression is 3x(x^2+4x+6).

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n a booster club, 1⁄8 of the 128 members are men. How many male members are in the club? A. 64 B. 112 C. 16 D. 1
Ber [7]
1/8 x 128 = 16

There are 16 male members
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Simplify by combining like terms 5 4/7i+4 3/5i
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Simplify by combining the real and imaginary parts of each expression

Answer: 356i/35
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2 years ago
Find intercepts of: 3x-3y+9=0 <br> X-intercept as a ordered pair<br> Y-intercept as a ordered pairr
ahrayia [7]
3x - 3y + 9 = 0

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is also the value of y when x = 0.

To solve for the y-intercept, set x = 0:

3(0) - 3y + 9 = 0
3(0) - 3y + 9 = 0

Subtract 9 from both sides:
- 3y + 9 - 9 = 0 - 9
- 3y = -9
Divide both sides by -3 to solve for y:

-3y/-3 = -9/-3
y = 3

Therefore, the y-intercept is (0, 3).

The x-intercept is the point on the graph where it crosses the x-axis, and has coordinates of (a, 0). It is also the value of x when y = 0.

To solve for the x-intercept, set y = 0:

3x - 3(0)+ 9 = 0
3x -0 + 9 = 0

Subtract 9 from both sides:
3x + 9 - 9 = 0 - 9
3x = -9

Divide both sides by 3 to solve for x:

3x/3 = -9/3
x = -3

Therefore, the x-intercept is (-3,0).

The correct answers are:
Y-intercept = (0, 3)
X-intercept = (-3, 0)
7 0
2 years ago
What is the factorization of the polynomial below?<br> 9x2 - 16
Agata [3.3K]

use (a-b) (a+b )

(3x+4) (3x- 4)

8 0
2 years ago
Read 2 more answers
What does these expression represent? 12f+24
Otrada [13]

Answer: the expression 12f + 24 represents 12 times a quantity, added to 24.


Expplanation.


The <em>expression 12f + 24</em> is an algebraic <em>expression</em>, especifically a first degree binomial; this is, a polynomial of two terms, whose maximum power is 1.


The algebraic expressions are used to <em>represent</em> word statements in mathematical language.


You can analyze each term of the expression and then tell what the total expresssion represents:


  • The first term <em>12f</em>, where f is a variable with degree 1 (the exponent of the variable), <em>represents</em> the multiplication of a quantity (represented by the variable f) by 12.
  • 24 is the constant term, it <em>represents</em> an constand addend.
  • Hence, the total <em>expression represents</em> the multiplication of a quantity  by 12,  and, after the multplication is done, added with 24.


5 0
2 years ago
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