if the polynomial x4 +2x3 + 8x2 + 12x + 7 is divided by another polynomial 3x2 + 4x + - Maths - Polynomials

Question

if the polynomial x4 +2x3 + 8x2 + 12x + 7 is divided
by another polynomial 3x2 + 4x + 1 + 5 the remainder comes out to
be (px +q) find p and q

Priyanka Kedia · Accepted Answer

$G i v e n, t h e p o l y n o m i a l x^{4} + 2 x^{3} + 8 x^{2} + 12 x + 7 i s d i v i d e d b y p o l y n o m i a l 3 x^{2} + 4 x + 1 + 5 (i e, 3 x^{2} + 4 x + 6) S o,$

$T h u s, r e m a i n d e r = \frac{104 x}{27} - \frac{29}{9} = (\frac{104}{27}) x + (- \frac{29}{9}) o n c o m p a r i n g w i t h p x + q, w e g e t p = \frac{104}{27} a n d q = - \frac{29}{9}$

if the polynomial x4 +2x3 + 8x2 + 12x + 7 is divided by another polynomial 3x2 + 4x + 1 + 5 the remainder comes out to be (px +q) find p and q

if the polynomial x⁴ +2x3 + 8x2 + 12x + 7 is divided by another polynomial 3x2 + 4x + 1 + 5 the remainder comes out to be (px +q) find p and q