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Polynomials

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

Polynomials

Which of the following is not the graph of a quadratic polynomial?

(A) (B)

(C) (D)

Polynomials

If one of the zeroes of a quadratic polynomial of the form x²+ax + b is the negative of the other, then it

(A) has no linear term and the constant term is negative.

(B) has no linear term and the constant term is positive.

(C) can have a linear term but the constant term is negative.

(D) can have a linear term but the constant term is positive.

Polynomials

If the zeroes of the quadratic polynomial ax² + bx + c, c ≠ 0 are equal, then

(A) c and a have opposite signs (B) c and b have opposite signs

(C) c and a have the same sign (D) c and b have the same sign

Polynomials

The zeroes of the quadratic polynomial x² + kx + k, k ≠ 0,

(A) cannot both be positive (B) cannot both be negative (C) are always unequal (D) are always equal

Polynomials

The zeroes of the quadratic polynomial x² + 99x + 127 are
(A) both positive (B) both negative
(C) one positive and one negative (D) both equal

Polynomials

If  one  of  the  zeroes  of  the  cubic  polynomial  x³  +  ax²  +  bx  +  c  is  –1,  then  the product of the other two zeroes is

(A) b – a + 1 (B)  b – a – 1 (C)  a – b + 1   (D)  a – b –1

Polynomials

The number of polynomials having zeroes as –2 and 5 is
(A) 1 (B) 2 (C) 3 (D) more than 3

Polynomials

If the zeroes of the quadratic polynomial x² + (a + 1) x + b are 2 and –3, then

(A) a = –7, b = –1 (B) a = 5, b = –1 (C) a = 2, b = – 6 (D) a = 0, b = – 6

Polynomials

If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is

(A) 10 (B) –10 (C) 5            (D)    –5