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
Zarrin [17]
3 years ago
10

Factorise a) 3x^2-7x+2 b)2x^2-x-3 c)3x^2-16x-12

Mathematics
1 answer:
Luba_88 [7]3 years ago
6 0

Answer: Answers are in the steps read carefully!

Step-by-step explanation:

A) 3x^2 - 7x + 2 To factor this polynomial, you have to find two numbers that their product is 6 and their sum is -7.  The numbers -1 and -6 works out because -6 times -1 is 6  and -6 plus -1 is -7.

Now rewrite the polynomial as

3x^2 - 1x - 6x + 2   Now group it  

(3x^2 - 1x) (-6x+2)  Factor it by groups

x (3x -1)  -2(3x -1)    Now factor out 3x-1  

(3x -1) (x-2)  Done!    

B)  2x^2 - x -3     Now the same way.You will have two numbers that  their product is -6 and their sum is -1. You may be wondering how I get -6 .I get -6 by multiply the leading coefficient  2 by the constant -3.  The numbers -3 and 2 works out. Because -3 times 2 is -6 and -3 plus 2 is -1.

 Rewrite the polynomial as

2x^2 +2x - 3x -3     GRoup them and factor them

(2x^2 + 2x)  (-3x-3)  

2x(x+1) -3(x+1)  Factor out x+1

(x+1) (2x -3) Done!  

C) 3x^2 - 16x - 12   Find two numbers that their product is -36 and their sum is -12. The numbers -18 and 2 works out because -18 times 2 is -36 and -18 plus 2 is -16.

Rewrite the polynomial

3x^2 +2x -18x - 12   GRoup them

 (3x^2 + 2x)   (-18x - 12)   Factor them

x (3x +2) -6(3x +2)  Factor out 3x+2

(3x+2) (x -6)  Done !

You might be interested in
5 Which equation describes a line of symmetry for the figure shown? -4 3 O y = x 2 O x = 0 2 B O y = -2 4 4 6 O y = 0 -2 -3 7 ch
BaLLatris [955]

Answer:

y = 0

Step-by-step explanation:

The line y = 0 is cutting your triangle in half with perfect symmetry.

3 0
3 years ago
I’m short word form 2,000,000+500,000+30,000+5,000+8
sasho [114]

Answer:

2,535,008

two million , five hundred thirty five thousand, eight

4 0
2 years ago
At Taylor Street School, 40% of the students bought lunch in the cafeteria today. Of the students who bought lunch in the cafete
leva [86]

Answer:

  Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = 12/100 =0.12 = 12%

Explanation:

  Let number of students be 100.

  At Taylor Street School, 40% of the students bought lunch in the cafeteria today

 Number of students bought lunch = 100 x 40/100 = 40

 Of the students who bought lunch in the cafeteria today, 30% chose pizza as their entree

 Number of students bought pizza = 40 x 30/100 = 12.

 Probability of an outcome = Number of favorable outcome/ Total number of outcome

 Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = Number of students bought pizza/Total number of students

        = 12/100 =0.12 = 12%

  Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = 12/100 =0.12 = 12%

4 0
3 years ago
PLEASE HELP ME i need help asap !!!
zavuch27 [327]
What’s the question?
5 0
3 years ago
You borrowed $ 1,325 for 10 years with compound interest rate of 4.02 %. How
Temka [501]

Answer:

5326.5

Step-by-step explanation:

1325x10x.402

7 0
3 years ago
Other questions:
  • Which statement correctly describes the end behavior of y = 3x8 + 5x2 +2x - 1
    10·1 answer
  • Z - 3( z + 2 ) = -6 - 2z
    7·2 answers
  • Write the equation of a line in point-slope form that is parallel to the line y = 3x +6 and passes through the point (-5, 8)
    12·1 answer
  • I need help on this ASAP!!!!!!<br><br> (image attached and it's find X)
    15·1 answer
  • Which statements are true? Mark all that apply.
    11·1 answer
  • What is the answers to the question: Which rational expression is undefined when x = 0?
    9·2 answers
  • What is the slope of the line that passes through the points (0,-7) and (-4,3)
    9·1 answer
  • What is -3y-y equal to
    6·2 answers
  • A cube has the width of 6 cm.What is the volume ofcthe cube?
    12·2 answers
  • What is the y-intercept of -x + 4 = y? *
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!