Question

factorise x^6-26x^3-27​

Answer 1

Given:

x^6-26x^3-27​

To find:

Factorize the given equation.

Solution:

1) The given equation is the polynomial equation which has degree 6.

2) We will solve the given equation by the method of splitting the middle term.

3) For that we have to split the middle term -26 into two terms so that if we add them we get -26 and while multiplying we get -27.

• x⁶-26x³-27=0

• x⁶-27x³+x³-27=0

• x³(x³-27)+1(x³-27)=0

• (x³-27)(x³+1)=0

• (x³-27) = 0 or (x³+1)=0

• x³=27   or    x³=-1

• x = 3   or     x = -1

After factorization we get x=3 and -1.

Answer 2

Step-by-step explanation:

Here is your answer

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