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11Alexandr11 [23.1K]
3 years ago
12

Can someone help me with this please??

Mathematics
1 answer:
Llana [10]3 years ago
4 0

Answer:

(x-5)*(x+5)

Step-by-step explanation:

= x^2 + 5x - 25 - 5x

= x^2 +5x - 5x -25

because +5x - 5x = 0 so

= x^2 + 0 - 25

= x^2 - 25

25 can be written as 5^2

= x^2 - 5^2

we know that a^2 - b^2 = (a-b) * (a+b)

so x^2 - 5^2

= (x-5) * (x+5)

Hope this help you :3

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Step-by-step explanation:

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Use synthetic division to solve (4x^3-3x^2+5x+6)/(x+6).what is the quotient
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Answer:

The quotient= 4x^2-27x+167.

Step-by-step explanation:

Given

Dividened= 4x^3-3x^2+5x+6

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In synthetic division : Put denomerator is equal to zero.

Put x+6=0

x=-6

Put -6 in division box as a divisor.

Coefficient of x^3=4

Coefficient of x^2=-3

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Put the coefficient of x^3,x^2,x and constant in descending order of power of x in  division problem.

Now ,bring the coefficient of x^3 is 4  straight down .

Now, multiply the numbe -6 in the division box with the number 4 brought down and put the result -24  below the number - 3 of next column.

By adding we get -27 and  write result in the bottom of row .

Again ,the number -6 multiply with -27 and put the result=162 below the number of next column.

By adding two number together we get 167 and put the result in the bottom of row.

Again, the number -6 in division box multiply with  the number 167 and put the result=1002 below the number of next column.

Adding two number together we get 1008 and write in the bottom of row.

Last number is remainder and then write the remainder  in fraction .

In quotient the power of x reduces by 1  from the numertor.

Hence, the quotient =4x^2-27x+167

Remainder=\frac{1008}{x+6}.

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