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
adelina 88 [10]
3 years ago
8

Factor the polynomial. X2+3x-54

Mathematics
2 answers:
Llana [10]3 years ago
7 0

Answer:  (x + 9)(x - 6)

<u>Step-by-step explanation:</u>

x² + 3x - 54      Find 2 numbers whose product is -54 and sum is +3

               ∧

            -1 + 54

            -2 + 27

            -3 + 18

            -6 + 9 = +3   This works!

Place those digits in the parentheses and it is now factored.

(x - 6)(x + 9)

Harrizon [31]3 years ago
3 0

Answer:

<h2>\mathrm{(x + 9)(x - 6)}</h2>

Step-by-step explanation:

{x}^{2}  + 3x - 54

Write 3x as a difference

{x}^{2}  + 9x - 6x - 54

Factor out x from the expression

x(x + 9) - 6x - 54

Factor out -6 from the expression

x(x + 9) - 6(x + 9)

Factor out x+9 from the expression

(x + 9)(x - 6)

Hope I helped!

Best regards!

You might be interested in
Rewrite 8y - 1/2 (4y - 16) in a different form
worty [1.4K]

Answer:

8y-2y+8=0

6y+8=0

y=8/6=4/3

4 0
3 years ago
Can someone help me please and explain.
exis [7]
[This question is such you will not understand a thing without your involvement as well. So follow my step and check by yourself]

First plot both functions on graph (this you gotta do yourself and check because only then you will learn)

How you plot the function?

f(x)=-3x³+5x-5

Put y=f(x)

y=-3x³+5x-5➡eqn(1)

So note the corresponding values of y on putting different values of x in that function.

I'll show u:

When x=0,y=-5 [calculate yourself it's easy just put x=0 and find value of y in eqn(1)]

Similarly,

x=1,y=-3

x=2,y=-19

[Similarly put x=-1,-2..and find corresponding y]

So you got points (0,-5),(1,-3),(2,-19)...plot these points and you have successfully plotted f(x).

Same process for plotting function g(x)....at least 6 points must be plotted.

❇After plotting f(x) and g(x):

1)check by yourself if they have same y-intercept (which is the distance between origin and the point of intersection of y-axis and the curve/line)

2) To check if they have same behavior or not,

increase the value of x[ie,1,2,3...] and note the corresponding value of y in function f(x) . Then decrease value of x[ie,-1,-2,-3..] and note corresponding value of y [note that y means function or f(x)]

Suppose f(x) has following end behavior:

When x increases f(x) tends to decrease

and when x decreases f(x) tends to increase

Now find end behavior of g(x) also..and if above end behavior matches with g(x), they will have same end behavior.

3) check by yourself by looking in plotted graphs of f(x) and g(x) whether they have at least one x-intercept or not.

4)g(x) is even function but f(x) is odd function.

So, g(x) is symmetrical over y-axis but f(x) is not.

5) Actually most of the algebraic polynomial functions don't show periodicity(but trigonometric and exponential function do). You can check by yourself by looking in plotted graph. If graph seems to be repeating same behavior it is periodic otherwise not. I am sure the given functions are not periodic. {Plz google periodic function if you want to know more}
3 0
3 years ago
33. Sarah has $200 in her bank account now. If she
DENIUS [597]

Answer:2

Step-by-step explanation:if she deposits 10 dollars every week she would be adding 10 dollars which means we have to multiply 10 by however many weeks she saves

7 0
3 years ago
If x = 2.5, 5× = _______<br><br>(^u^) please help meh ​
LenaWriter [7]

x=2.5

5x = 5(2.5) = 12.5

I believe 12.5 is the answer

3 0
3 years ago
Read 2 more answers
What is 8,274 rounded to the nearest thousand
larisa [96]

Answer:ot would be 8000

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which point slope equation represents a line that passes through (3, -2) with a slope of - 4/5
    8·1 answer
  • Evaluate the cumulative distribution function, F, for the given random variable, X, at specified values: also determine the requ
    10·1 answer
  • Please help me I’m in a hurry how do you solve this
    6·1 answer
  • Which of these triangle pairs can be mapped to each other using a single translation?
    11·1 answer
  • What is the value of the number line ​
    11·1 answer
  • Add the difference of 16 and 9 to the quotient of 12 and 3
    6·1 answer
  • PLZ HELP!!! WILL MAKE BRAINLIEST!!!!!​
    10·2 answers
  • PLS HELP.
    12·2 answers
  • there are 983 boys and 1059 girls in a school estimate the approximate number of students in the school​
    11·1 answer
  • Suppose that y varies directly with x
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!