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
irakobra [83]
3 years ago
7

Factorise the following:

"{3x}^{2} + 5x - 12" alt="{3x}^{2} + 5x - 12" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Fed [463]3 years ago
6 0

Answer:

(x + 3)(3x - 4)

Step-by-step explanation:

Given

3x² + 5x - 12

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 12 = - 36 and sum = + 5

The factors are + 9 and - 4

Use these factors to split the x- term

3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )

= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term

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

Thus

3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form

You might be interested in
What is 13.646 rounded to the nearest whole number
trasher [3.6K]

Answer:

The answer is 14.

Step-by-step explanation:

8 0
3 years ago
One fourth of a number decreased by 10, is -50
Svet_ta [14]
The answere is 1/4x-10=-50
3 0
3 years ago
Read 2 more answers
1. Resuelve las siguientes operaciones básicas.
MA_775_DIABLO [31]

Answer:

A)30 565,98

B)638 438,95

C)3 915,2584

D)4 186,1695652

Step-by-step explanation:

6 0
3 years ago
A box contains 95 pink runner bands and 90 brown rubber bands. You select a rubber band at random from the box. Find each probab
vovikov84 [41]
Given:
95 pink rubber bands
90 brown rubber bands

185 rubber bands in all.

Probability of pink : 95/185 ⇒ 19/37

  95 ÷ 5 = 19
185 ÷ 5 = 37

Probability of brown : 90/185 ⇒ 18/37

  90 ÷ 5 = 18
185 ÷ 5 = 37
8 0
3 years ago
Read 2 more answers
(b) Express the prime number 43 as the difference of two squares? 43 =​
Verizon [17]
222-212! Im pretty sure that’s the answer
7 0
3 years ago
Other questions:
  • 69 POINTS FOR THE BEST ANSWER EVER!! PLEASE HELP PRO'S are aloud!! :D<br><br><br> TYSM everyone
    8·2 answers
  • Yesterday, Jack drove 44 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per​ gallon?
    7·2 answers
  • Which of the sums below can be expressed as 6(3 + 9)? (3 points) 18 + 54 18 + 9 9 + 15 6 + 54
    13·2 answers
  • Help me to prove the given below. Thank you in advance
    10·1 answer
  • Which choice is appropriate simplified form and restriction for the variable (x+3)(x+7)/3x+21
    15·1 answer
  • What is the next term in the sequence?
    13·2 answers
  • What is the solution to this system of linear equations? Y-x=6 y+x=-10
    12·1 answer
  • Tyler says the fifth graders have more than twice as many participants as the second graders. Is Tyler correct? Explain
    7·1 answer
  • A panda and a giraffe start moving towards each other when they are 300 feet apart. The panda is running at a speed of P feet pe
    13·1 answer
  • -3x+2y=-4<br> Graphed<br> Very confused on this question
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!