Request a call back

1.If f(x)=x³+x²-ax+b is divisible by x²-x write the values of a&b 2.If a-b,a,a+b are zeros of polynomial f(x)=2x³-6x²+5x-7,write the value of a.
Asked by CHIDAMBAR | 07 Oct, 2018, 01:21: PM
x³ + x² -ax + b is divisible by x² - x or x(x -1)

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

mean x(x - 1) = 0

x = 0 or x - 1 = 0

Therefore x = 0 and x = 1

0 and 1 the zeros of x³ + x² -ax + b.

1. Substituting x = 0, we get

(0)³ + (0)² -a(0) + b = 0
b = 0

2. Substituting x = 1, we get
(1)³ + (1)² - a(1) + b = 0
1 + 1 - a + b = 0
2 - a + 0 = 0
a = 2

a = 2 and b = 0

Therefore value of a=2 and b = 0.

Answered by Yasmeen Khan | 07 Oct, 2018, 05:37: PM

## Concept Videos

CBSE 10 - Maths
Asked by sahooashutosh781 | 21 May, 2024, 01:26: PM
CBSE 10 - Maths
Asked by sahooashutosh781 | 20 May, 2024, 01:41: PM
CBSE 10 - Maths
Asked by sweetsmiley9 | 20 May, 2024, 10:50: AM
CBSE 10 - Maths
Asked by kmd568070 | 16 May, 2024, 12:12: PM
CBSE 10 - Maths
Asked by vinitbathija26 | 11 May, 2024, 06:07: PM
CBSE 10 - Maths
Asked by biswajitgope404 | 09 May, 2024, 09:30: PM