Question

1. If the polynomials az' +43 + 3-4 and 2-4 + a leave the same remainder
when divided by 2-3. find the value of a.​

Answer 1

Answer:

Step-by-step explanation:

Let the polynomial be p(x), then  

p(x)≡(3x−1)(mod(2x+1)(x−3))  

⟹p(x)≡(3x−1)(mod2x+1)p(x)≡(3x−1)(mod(x−3))  

p(x)≡(3x−1)(mod2x+1)  

⟹p(x)≡(3x−1)−(2x+1)(mod2x+1)  

⟹p(x)≡x−3(mod2x+1)  

⟹p(x)≡(x−3)−0.5(2x+1)(mod2x+1)  

⟹p(x)≡(x−3)−x−0.5(mod2x+1)  

⟹p(x)≡−3.5(mod2x+1)  

∴- 3.5 is the remainder when the polynomial is divided by 2 x + 1