1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alina1380 [7]
3 years ago
11

Please Help! Factor the following trinomial

x^2-24x+16" alt="9x^2-24x+16" align="absmiddle" class="latex-formula">
Please show work
Mathematics
2 answers:
Dmitrij [34]3 years ago
8 0

=> 9x² - 24x + 16

Split the middle term(term with x) in such a manner so that the product of those parts is equal to the product of term with x² and constant. Here, those parts are 12 & 12 as 12*12 = 9*16.

=> 9x² - 24x + 16

=> 9x² - (12 + 12)x + 16

=> 9x² - 12x - 12x + 16

=> 3x(3x - 4) - 4(3x - 4)

=> (3x - 4)(3x - 4)

Method 2

=> 9x² - 24x + 16

=> (3x)² - 2(3x*4) + 4²

=> (3x - 4)²

=> (3x - 4)(3x - 4)

Method 3

In case if you can't find the factors of the middle term.

Say f(x) = 0, find the zeroes using quadratic formula. Zeroes of this eqⁿ are [-(-24) ± √24²-4(9)(16)] / 2(9) = 4/3 & 4/3

Therefore, f(x) = (x - 4/3)(x - 4/3) = (3x - 4)(3x - 4)/9

Ignore the numeric constant.

f(x) = (3x - 4)(3x - 4)

AlexFokin [52]3 years ago
5 0

\huge\colorbox{pink}{Hey \: panda!}

The answer=>

For this,we need to know what's Middle splitting method

  • In order to factorize x² + bx + c we have to find numbers p and q such that p + q = b and pq = c. After finding p and q, we split the middle term in the quadratic as <em><u>px + qx and</u></em> get desired factors by grouping the terms.

Step-by-step explanation:

9x {}^{2}  - 24x + 16 \\  =  > 9x {}^{2}  - 12x - 12x + 16 \\  =  > 3x(3x - 4) - 4(3x - 4) \\  =  > (3x - 4)(3x - 4) \\ so... \\ x = eitherway \: 4

i.e

Alpha= Beta = 4

You might be interested in
Round 69,814 to the nearest hundred
tamaranim1 [39]

Answer:

69,800 thats the answer

6 0
3 years ago
Evaluate log25+log8 _log2​
Lemur [1.5K]

Step-by-step explanation:

log 25 + log 8 = log (25 × 8) = log 200

log 200 - log 2 = log (200 ÷ 2) = log 100

logarithm base 10 of 100 is 2.

7 0
2 years ago
4. Find f(2) if f(x) = 2x + 1.
irina [24]

Answer:

X= .5 (decimal form)

X= 1/2 (Exact form)

6 0
2 years ago
Read 2 more answers
A code is formed using four of these letters: A, B, I, K, N, O, and T. (Note that the order of the letters in the code matters;
oksano4ka [1.4K]
To answer this question, use permutation since the order of the letter matters. There are 7 letters and only 4 are to be used for the code. This  is a permutation of 7 taken 4 (7P4) which is equal to 840. Thus, the sample space is 840.
For the next questions, there are 3 vowels for as the first letter, only 6 letters are available for the second, 5 on the next, and 4 on the last. Multiplying these numbers give 360. To solve for probability, divide this number with the sample space. Thus, the answer is 3/7. 
7 0
2 years ago
i live in a house that 3 metets below sea level go to school 5 meters above sea level how many meters do i go​
RideAnS [48]
3 meters below sea level represents a -3
From -3 to 0 is 3
3 + 5 above sea level = 8 meters
There are 8 meters between the house and the school
4 0
3 years ago
Other questions:
  • What is the median of this data set?
    5·2 answers
  • 191 rounded to nearest ten
    6·2 answers
  • 5.........::.:.:.:.:.:.::::.
    14·1 answer
  • Not sure what the answer is hope an expert can help
    9·2 answers
  • 4x-4y equal to 11 for y
    5·1 answer
  • Help with the answer
    10·2 answers
  • 8 is a quotient of a number 3 and 3
    12·1 answer
  • Find the net price<br> 20% discount on $365 purchase
    13·2 answers
  • Identify two pairs of vertical angles.*
    7·1 answer
  • Pre-calc <br> What is the remainder when x +4 is divided by x - 2?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!