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avanturin [10]
3 years ago
7

Find the factors of 4x2-16x-9.

Mathematics
2 answers:
zzz [600]3 years ago
5 0

Answer:

Step-by-step explanation:

4x^2-16x-9.\\Writ -16x - as -a -difference\\ 4x^2 +2x-18x -9 \\Factor -out- common- terms\\2x(2x+1)-9(2x+1)\\ Factor -out (2x+1)\\(2x+1)(2x-9)

I Hope It Helps :)

Wewaii [24]3 years ago
3 0

Answer:

\boxed{\sf (2x - 9)(2x + 1)}

Step-by-step explanation:

\sf Factor  \: the \:  following: \\  \sf  \implies 4 {x}^{2}  - 16x - 9 \\  \\  \sf Factor \:  the \:  quadratic  \: 4  {x}^{2} -   16 x  -  9.  \\ \sf The  \: coefficient  \:   of  \:  {x}^{2}  \:  is  \: 4  \: and  \: the \:  constant  \\ \sf term  \: is  \:  - 9.  \: The \:  product  \: of \:  4  \: and  \:  - 9 \:  is \\ \sf  - 36.  \: The \:  factors  \: of  \: - 36 \:  which \:  sum \:    to \\ \sf  - 16  \: are \:  2 \:  and  \:  - 18.  \\  \sf So, \\  \sf \implies 4 {x}^{2}  - (18 - 2)x - 9 \\  \\  \sf \implies 4 {x}^{2}  - 18x + 2x - 9 \\  \\  \sf \implies 2x(2x - 9) + 1(2x - 9) \\  \\  \sf Factor \:  2x  - 9 \:  from \: 2x(2x - 9) + 1(2x - 9) :  \\  \sf \implies (2x - 9)(2x + 1)

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skad [1K]
<span>A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common.One way to determine the greatest common factor is to find all the factors of the numbers and compare them.
The factors of 64 are 1, 2, 4, 8, 16, 32, and 64.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
The common factors are 1, 2, 4, and 8. Therefore, the greatest common factor is 8. 
The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.
The prime factors of 64 are 2, 2, 2, 2, 2, and 2.
The prime factors of 72 are 2, 2, 2, 3, and 3.
The prime factors in common are 2, 2, and 2, so the greatest common factor is 2 x 2 x 2 = 8.
SummaryA factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common. 



Summary:
The common factors of 64 and 72 are 1, 2, 4, and 8.
The greatest common factor of 64 and 72 is 8.

Or in the short term; the answer is 8</span>
8 0
3 years ago
Simplify (4x + 12) - (6x - 18)
bixtya [17]

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  

                    4*x-12-(6*x-18)=0

Step-by-step explanation:

Pull out like factors :

  -2x + 6  =   -2 • (x - 3)

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2 years ago
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What is the mean of the measures of the three exterior angles of a triangle if two of the interior angles have measures of 63 an
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Answer:

  1. Mean score=120

Step-by-step explanation:

  1. Areas of a triangle add upto 180degrees (63+78+x=180) 141+x= (x=180-141) x=39
  2. Areas on a straight line add upto 180degrees

180-78=102

180-63=117

180-39=141

  1. 102+117+141=360
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2 years ago
Solve the following system of equations algebraically. Verify your solution either graphically or by using matrices.
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3x - y = 0 . . . (1)
5x + 2y = 22 . . . (2)

From (1), y = 3x . . . (3)

Putting (3) into (2) gives:
5x + 2(3x) = 22
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From (3), y = 3(11) = 33

x = 11, y = 33.
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