Find, whether or not the first polynomial is a factor of the second :

1.	Find, whether or not the first polynomial is a factor of the second : (i) x+1, 2x2+5x+4 (ii) y−2, 3y3+5y2+5y+2 (iii) 4x2−5,4x4+7x2+15 (iv) 4−z, 3z2−13z+4 (v) 2a−3, 10a2−9a−5 (vi) 4y+1, 8y2−2y+1
Answer» Find, whether or not the first polynomial is a factor of the second : (i) $x + 1, 2 x^{2} + 5 x + 4$ (ii) $y - 2, 3 y^{3} + 5 y^{2} + 5 y + 2$ (iii) $4 x^{2} - 5, 4 x^{4} + 7 x^{2} + 15$ (iv) $4 - z, 3 z^{2} - 13 z + 4$ (v) $2 a - 3, 10 a^{2} - 9 a - 5$ (vi) $4 y + 1, 8 y^{2} - 2 y + 1$

Find, whether or not the first polynomial is a factor of the second : (i) x+1, 2x2+5x+4 (ii) y−2, 3y3+5y2+5y+2 (iii) 4x2−5,4x4+7x2+15 (iv) 4−z, 3z2−13z+4 (v) 2a−3, 10a2−9a−5 (vi) 4y+1, 8y2−2y+1

Answer»

(i) $x + 1, 2 x^{2} + 5 x + 4$

(ii) $y - 2, 3 y^{3} + 5 y^{2} + 5 y + 2$

(iii) $4 x^{2} - 5, 4 x^{4} + 7 x^{2} + 15$

(iv) $4 - z, 3 z^{2} - 13 z + 4$

(v) $2 a - 3, 10 a^{2} - 9 a - 5$

(vi) $4 y + 1, 8 y^{2} - 2 y + 1$