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Nadya [2.5K]
3 years ago
12

Factorise the following.​

Mathematics
1 answer:
spin [16.1K]3 years ago
3 0

Answer:

x²(9x– 11)(9x + 11)

Step-by-step explanation:

81x⁴ – 121x²

The expression can be factorised as follow:

81x⁴ – 121x²

x² is common to both term. Thus:

81x⁴ – 121x² = x²(81x² – 121)

Recall:

81 = 9²

121 = 11²

Therefore,

x²(81x² – 121) = x²(9²x² – 11²)

= x²[(9x)² – 11²]

Difference of two squares

x²(9x– 11)(9x + 11)

Therefore,

81x⁴ – 121x² = x²(9x– 11)(9x + 11)

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WILL MARK BRAINLEST
MAXImum [283]

Answer:

What is factoring?

Factoring is finding what to multiply to find an expression. It is like splitting expression into a multiplication of simplified expression.

Why is it useful to try to factor out the GCF first when factoring?

Greatest common factor or GCF of two numbers is the largest number that divides evenly in both numbers, GCF works the same in polynomials, which divide the expression evenly .

Explain the relationship between factoring and multiplying polynomials. Give an example to help explain

Factoring take away the multiplication, to factorize a polynomial it means take apart what  is multiplied. the best example is a²+b²+2ab ( multiplied)

factorize :(a+b)(a+b)   take apart what is multiplied

Factor x^2-25, 3x^2-12x-15, and x^3+2x^2+3x+6

x²-25  =(x+5)(x-5)

3x²-12x-15 = 3(x²-4x-5)  GCF=3

3(x-5)(x+1)

x³+2x²+3x+6  (x+2) common factor

(x+2)(x²+3)

What are the key features needed to graph a polynomial function?

the key features are the vertex, axis of symmetry, x and y intercept

Explain how to find these key features to sketch a rough graph of a polynomial function

parabola : y=ax²+bx+c

ex: 3x²-12x-15

find vertex (h,k)

h=-b/2a =-(-12)/2(3)=2

k=f(h)=f(2)=3(2)²-12(2)-15

k=12-24-15=-27

vertex=(2,-27)

x intercept is when the graph =0 (y=0)

y intercept when x=0 then y= the constant c and where the graph cross the y axis

axis of symmetry is the x of the vertex: is a line about which a parabola is symmetrical and vertical when the axis of symmetric is vertical.

Why would someone want to factor a polynomial? Provide real world examples of different questions we can answer or facts we can determine from factoring a polynomial.

factor a polynomial helps us understand more about equations,factoring helps us rewrite the polynomial into simpler expression.

example from real life:

A homeowner has a back yard and wants to turn it to garden beds so he can plant his vegetables, he wants to fill it with dirt he needs 240 cubic feet to fill it  the length is 4 feet than the width , and the height is 4

solve:

length=W+4

height=1/3 w

V=length* width* height

240=(w+4)(w)(4)

351= 4w²+16w

4w²+16w-240=0

take 4 as common factor

4(w²+4w-60)

now factorize:

4(w-6)(w+10)=0

Step-by-step explanation:

PLEASE BRAINLIEST

4 0
2 years ago
A video game system and several games are sold for $ 648. The cost of the games is 3 times as much as the cost of the system. Fi
podryga [215]

First set up the equation.

x + 3x = 648

Then solve for x.

4x = 648

Divide both sides by 4.

x = 162.  So the answer for the system would be $162 and the price for the games would be $486.  Add the two up to check your work and you will get $648.  Hope this helped!

-TTL

5 0
3 years ago
A culture started with 2000 bacteria after 3 hours it grew to 2,400 bacteria. Predict how many bacteria will be present after 18
Lemur [1.5K]
5,972
is your answer that it
8 0
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Read 2 more answers
What is the value of x in the equation 4/3/10
Monica [59]
The value of X in the equation is -3
6 0
3 years ago
A = 78', b = 12.3, c = 20.2
nasty-shy [4]

Answer:

yay u got your answer:))

but seriously what is your question?:))

5 0
2 years ago
Read 2 more answers
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