Question

1.Can x - 1 be the quotient on division of x + 2x + x-1 by a polynomial in x of degree 5?

2. If 1 is a zero of the polynomial p(x) = ax² - 3(a-1)x - 1, then find the value of 'a'?​

Answer 1

Answer:

No, x2 – 1 cannot be the quotient on division of x6 + 2x3 + x – 1 by a polynomial in x of degree 5. Justification: When a degree 6 polynomial is divided by degree 5 polynomial, The quotient will be of degree 1.