Question

If x²-x is a factorof the polynomial x³+x²-ax+b.
Find the values of a and b.
Please answer fast!

Answer 1

Answer:

x³ + x² -ax + b is divisible by x² - x or x(x -1) 

 x and (x -1) they are the factors of x³ + x² -ax + b .

.0 and 1 they are the zeros of x³ + x² -ax + b.

PUTTING x = 0

(0)³ + (0)² -a(0) + b = 0 = b = 0

putting x = 1 

(1)³ + (1)² - a(1) + b = 0

1 + 1 - a + b = 0

2 - a + 0 = 0 

a = 2 

HERE IS YOUR ANSWER, a = 2 and b = 0

Step-by-step explanation:

Answer 2

Given :-

x² - x is a factor of the polynomial x³ + x² - ax + b

To Find :-

The value of a and b

Answer :-

a = 2 , b =0

Salutation :-

Given polynomial :- x³ + x² - ax + b

x² - x is a factor of the equation.

•°• x² - x = 0

x ( x - 1 ) = 0

or , x = 0 , nor , x = 1

Now ,

f ( x ) = x³ + x² - ax + b

f ( 0 ) = ( 0 )³ + ( 0 )² - a ( 0 ) + b = 0

or , b = 0

And ,

f ( 1 ) = ( 1 )³ + ( 1 )² - a × 1 + 0 = 0 [ • b = 0 ]

1 + 1 - a = 0

a = 2

•°• The value of a is 2 and b is 0.