Advertisements
Advertisements
प्रश्न
If f(x) = x4 − 2x3 + 3x2 − ax − b when divided by x − 1, the remainder is 6, then find the value of a + b
Advertisements
उत्तर
When polynomial f(x) = x4 − 2x3 + 3x2 − ax − b divided by x − 1 the remainder is 6.
i.e. f(1) =6
`(1)^4 - 2(1)^3 +3(1)^2 -a(1) - b= 6`
` 1- 2 +3 -a - b = 6`
`2 -(a +b) = 6`
`(a+b) = -4`
Thus, the value of a +b = -4.
APPEARS IN
संबंधित प्रश्न
Identify polynomials in the following:
`h(x)=x^4-x^(3/2)+x-1`
f(x) = 3x4 + 17x3 + 9x2 − 7x − 10; g(x) = x + 5
If x − 2 is a factor of the following two polynomials, find the values of a in each case x3 − 2ax2 + ax − 1.
In the following two polynomials, find the value of a, if x + a is a factor x3 + ax2 − 2x +a + 4.
2y3 − 5y2 − 19y + 42
If x − a is a factor of x3 −3x2a + 2a2x + b, then the value of b is
(x+1) is a factor of xn + 1 only if
Factorise the following:
p² – 6p – 16
Factorise the following:
t² + 72 – 17t
Factorise the following:
12x2 + 36x2y + 27y2x2
