Polynomials Quiz

1.

If (x - a) and (x - b) are the factors of p(x), then

p(a) = 0, p(b) = 0

p(-a)*p(-b) = 0

p(-a) = 0, p(-b) = 0

p(-a) = 0, p(b) = 0

2.

Find the remainder when x^3 - ax^2 + 6x - a is divisible by x - a

5a

a

5

1

3.

Check whether 7 + 3x is a factor of 3x^3 + 7x.

Is a factor

Is not a factor

4.

Factorize x^3 - 19x - 30 into three linear factors if it is divisible by (x-5)

(x-3)(x+2)(x-5)

(x-3)(x-2)(x-5)

(x+3)(x-2)(x-5)

(x+3)(x+2)(x-5)