Find the HCF of the polynomials P(x)=24(6x4-x3-2x2) and Q(x)=20(2x6+3x5+x4).
Hi Sandra Saju dear,
P(x) = 24 * x^2 (6x^2 - x - 2) = 24 * x^2 * (3x - 2)(2x + 1)
Q(x) = 20 * x^4 (2 x^2 + 3 x + 1) = 20 * x^4 * (x +1)(2x + 1)
For numerical values 24 and 20 H C F is 4 since 24 = 4*6 and 20 = 4*5
And with the factors we have x^2 (2x + 1) are the highest common factors
Hence required answer : 4 x^2 (2x + 1)
P(x) = 24 * x^2 (6x^2 - x - 2) = 24 * x^2 * (3x - 2)(2x + 1)
Q(x) = 20 * x^4 (2 x^2 + 3 x + 1) = 20 * x^4 * (x +1)(2x + 1)
For numerical values 24 and 20 H C F is 4 since 24 = 4*6 and 20 = 4*5
And with the factors we have x^2 (2x + 1) are the highest common factors
Hence required answer : 4 x^2 (2x + 1)