Question

X4-7X2+11X+5 factor x=-1​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

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Step-by-step explanation:

x³ - 7x² + 11x - 5

Splitting - 7x² in two terms.

- 7x² = - x² - 6x²

x³ - 7x² + 11x - 5

x³ - x² - 6x² + 11x - 5

If we notice, we can take x2 common in(x3−x2)and we can write−6x2+11−5−[6x2−11x+5]

So,

x²( x - 1 ) - [ 6x² - 11x + 5 ]

Then,

6x² + 11x + 5 is an quadratic equation which can be solved by splitting middle term method. in the equation middle term is 11x, according to the question 11x on splitting, will be 6x + 5x.

x²( x - 1 ) - [ 6x² - 6x - 5x + 5 ]

x²( x - 1 ) - [ 6x( x - 1 ) + 5( x - 1 ) ]

x²( x - 1 ) - ( x - 1 )( 6x + 5 )

( x - 1 )( x² - 6x + 5 )

( x - 1 ) { x² - 5x - x + 5 }

( x - 1 ){ x( x - 5 ) - ( x - 5 ) }

( x - 1 )( x - 1 )( x - 5 )

( x - 5 )( x - 1 )²

Thus,

factors of x^3-7x^2+11x-5 are ( x - 5 ) and ( x - 1)