Advertisements
Advertisements
प्रश्न
In the following two polynomials, find the value of a, if x + a is a factor x3 + ax2 − 2x +a + 4.
Advertisements
उत्तर
Let f(x) = x3 + ax2 − 2x +a + 4 be the given polynomial.
By the factor theorem, (+ a) is the factor of f(x), if f(− a) = 0, i.e.,
`f(-a) = (-a)^3 + a(-a)^2 -2(-a) + a + 4 = 0`
`-a^3 + a^3 2a + a + 4 = 0`
`3a + 4 = 0`
`a = (-4)/3`
Thus, the value of a is − 4/3.
APPEARS IN
संबंधित प्रश्न
Write the degrees of the following polynomials:
`5y-sqrt2`
Identify polynomials in the following:
`g(x)=2x^3-3x^2+sqrtx-1`
Identify polynomials in the following:
`q(x)=2x^2-3x+4/x+2`
Identify polynomials in the following:
`h(x)=x^4-x^(3/2)+x-1`
If x = 0 and x = −1 are the roots of the polynomial f(x) =2x3 − 3x2 + ax + b, find the value of a and b.
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x.
x3 + 2x2 − x − 2
If x − a is a factor of x3 −3x2a + 2a2x + b, then the value of b is
If x2 − 1 is a factor of ax4 + bx3 + cx2 + dx + e, then
Factorise the following:
a2 + 10a – 600
