Polynomials

The zeroes of the quadratic polynomial x² + 99x + 127 are......

• both positive

• both negative

• one positive and one negative

• both equal

If the zeroes of the quadratic polynomial x² + bx + c , c ≠ 0 are equal, then....

• c and a have opposite signs

• c and b have opposite signs

• c and a have the same sign

• c and b have the same sign

The number of polynomials having zeroes as –2 and 5 is....

• 1

• 2

• 3

• more than 3

The degree of the polynomial (x + 1)(x² – x – x⁴ +1) is......

• 2

• 3

• 4

• 5

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

• a = –7, b = –1

• a = 5, b = –1

• a = 2, b = – 6

• a = 0, b = – 6

Given that one of the zeroes of the cubic polynomial  $ax^3+bx^2+cx+d$ is zero, the product of the other two zeroes is.....

• 
  

   $\frac{-c}{a}$  
  

•  $\frac{c}{a}$  

• 0

• 3

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

• b – a + 1

• b – a – 1

• a – b + 1

• a – b –1

If one of the zeroes of the quadratic polynomial   $\left(k-1\right)x^2+kx+1$  is –3, then the value of k is.....

• 
  

   $\frac{4}{3}$  
  

•  $\frac{-4}{3}$  

•  $\frac{2}{3}$  

•  $\frac{-2}{3}$  

A quadratic polynomial,whose zeros are -3 and 4 is....

• 
  

  $x^2-x+12$
  

• $x^2+x+12$

• $\frac{x^2}{2}-\frac{x}{2}-6$

• $\frac{x^2}{2}+\frac{x}{2}-6$

The value of p for which the polynomial x³ + 4x² –px + 8 is exactly divisible by (x – 2) is......

• 0

• 3

• 5

• 16