Solve this: Q 11 The polynomials ax3-3x2+4 and 2x3-5x+a when divided by (x - 2) leave the remainder p - Maths - Polynomials

Question

Solve this:
Q 11 The polynomials a x 3 - 3 x 2 + 4   a n d   2 x 3 -
5 x + a when divided by (x - 2) leave the remainder p and q
respectively If p - 2q = 4, find the value of a

Amit Shukla · Accepted Answer

Dear Student,

Let,P(x)=ax3-3x2+4 and Q(x)=2x3-5x+aSo, when polynomials Px and Qx are divided by x-2, gives remainder p and q,therefore;P2=pi
ea23-322+4=p→ p=8a-12+4 →p=8a-8and,Q2=qq=223-5×2+a→ q=6+a,now,We have,p-2q=48a-8-26+a=48a-8-12-2a=46a-20=46a=24a=4

Regards

Solve this: Q.11. The polynomials a x 3 - 3 x 2 + 4 a n d 2 x 3 - 5 x + a when divided by (x - 2) leave the remainder p and q respectively. If p - 2q = 4, find the value of a.

Solve this:
Q.11. The polynomials $a x^{3} - 3 x^{2} + 4 a n d 2 x^{3} - 5 x + a$ when divided by (x - 2) leave the remainder p and q respectively. If p - 2q = 4, find the value of a.