11x-7x²+7,when x=-3
plz someone answer
Answers
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
\begin{gathered} \text{If we notice, we can take} \: x^{2} \text{ common in} \: ( x^{ 3} - x^{2} ) \\ \text{and we can write} - 6x^{2} + 11x - 5 \: \: \text{as} \: \: \bold{ - [ 6x^{2} - 11x + 5 ]}\end{gathered}
If we notice, we can takex
2
common in(x
3
−x
2
)
and we can write−6x
2
+11x−5as−[6x
2
−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 )
Answer:
11x -7x² +7
Given x= -3
putting the value of x in the equation,
11(-3) -7 (-3)² +7
= -33 -7 (9) +7
= -33 - 63 +7
= -96+7
= -89 Ans ..
Step-by-step explanation:
Have a wonderful day!!!☺️☺️