The HCF of the polynomials x4+6 x2+25, x3-3 x2+ 7 x-5 and x2+5-2 x is:

Question

The HCF of the polynomials x4+6 x2+25, x3-3 x2+ 7 x-5 and x2+5-2 x is: (A) x2-2 x-5 (B) x2-2 x+5 (C) x-1 (D) 3 x+2

Tardigrade Admin · Accepted Answer

(i) Factorize the polynomials. (ii) Find the HCF of the first two polynomials. (iii) Now find the HCF of the third polynomial and HCF of the first two pol &gamma; nomials.

Q. The HCF of the polynomials $x^{4} + 6 x^{2} + 25, x^{3} - 3 x^{2} +$ $7 x - 5$ and $x^{2} + 5 - 2 x$ is:

$x^{2} - 2 x - 5$

$x^{2} - 2 x + 5$

$x - 1$

$3 x + 2$

(i) Factorize the polynomials.
(ii) Find the HCF of the first two polynomials.
(iii) Now find the HCF of the third polynomial and HCF of the first two pol $γ$ nomials.

Q. The HCF of the polynomials x4+6x2+25,x3−3x2+ 7x−5 and x2+5−2x is:

x2−2x−5

x2−2x+5

x−1

3x+2