can (x-5) be the remainder on division of a polynomial p(x) by (x+8)?

Can (x - 1) be the remainder on division of a polynomial P(x) by 2x + 3 ? Justify your answer.

Can (y + 5) be the remainder on division of a polynomial f(y) by (y-2) ?

Zero of the polynomial p(x) =2x+5 is

Zero of the polynomial p(x)=2x+5 is

Answer the following and justify. (i) can x^(2)-1 be the quotient on division of x^(6) +2x^(3) +x - 1 by a polynomial in x of degree 5? (ii) What will be quotient and remainder be on division of ax^(2)+bx +c by px^(3) +qx^(2) +rx +s, p ne 0 ? (iii) If on division of a polynomial p(x) by a polynomial g(x) , the quotient is zero, what is the relation between the degree of p(x) and g(x) ? (iv) If on division of a non-zero polynomial p(x) by a polynomial g(x) , the remainder is zero, what is the relation between the degrees of p(x) and g(x) ? (v) Can be quadratic polynomial x^(2) +kx +k have equal zeroes for some odd integer k gt 1 ?

If the remainder obtained on dividing the polynomial 2x^(3)-9x^(2)+8x+15 by (x-1) is R_(1) and the remainder obtained on dividing the polynomial x^(2)-10x+50 by (x-5) is R_(2), then what is the value of R1-R2?

If the polynomial P(x)=2x+x-5x^(2)-x+1 is divided bythe polynomial Q(x)=x^(2)-x then the remainder is alinear polynomial R(x)=ax+b. Then (a+b) equals:

A polynomial f(x) leaves remainders 10 and 14 respectively when divided by (x-3) and (x-5) Find the remainder when f(x) is divided by (x-3) and (x-5)