NSEJS polynomial

NSEJS -polynomial

polynomials

if f(x) is a polynomial satisying P( x + 3/2) = P (x), for all real values of x. If P(5) = 2002, then find the Value of P(8)

polynomial

If x³ – 6x² + px + q is exactly divisible (x² – 3x + 2), then find the value of p and q

STD 8

If f(x) = x³ - mx² - 3x + m – 2, where m Ɛ R.

Find S(m) = x₁³ + x₂³+ x₃³, where x₁, x₂, and x₃ are the roots of the polynomial

polynomial

Solve for x:

(a + x)^2/3  + 4(a – x)^2/3 = 5(a² – x²)^1/3

Polynomial

Solve for x:

(x – 4)³ + (x – 5)³ = 31{(x – 4)² - (x – 5)²}

reciprocal equations

Solve for x:
12(x⁴ + 1)  + 89x² = 56x(x² + 1)

Polynomial

Solve for x:

(x + 9)(x - 3)(x - 7)(x + 5) = 385

Polynomial

Solve for x:

2x⁴ – 13x³ + 24x² – 13x + 2 = 0

Polynomial

Solve for x:

6x⁴ – 35x³ + 62x² – 35x + 6 = 0

polynomial

Solve for: 
3x⁴ – 16x³ + 26x² – 16x + 3 = 0

Polynomial

Solve the polynomial:

-2x³ +17x - 3 = 0

Polynomial

Find the roots of the

 x³ - 5x² +10x - 8 = 0

x³ - 2x² - 2x - 3 = 0

Polynomial

Solve for x: reciprocal quadratics

2x³ + 3x² + 3x + 2 = 0, 

Polynomial

Solve for x:

x³ - 3x² – 5x + 7 = 0, and x₁= 1 - 2√2

polynomials

Find the other roots of the polynomial:

x³ - 3x² – 3x + 1 = 0, and x₁= 2 - √3

Polynomials

Find the other roots of the polynomial:

x⁴ – 2x³ – 2x – 1 = 0, and x₁= 1 - √2 

cube root

 

cube root

 ax³ + bx²+cx + d = 0 , is a perfect cube, if

b³ = 27 a²d and c³ = 27ad²