POLYNOMIALS

If  $\alpha$  ,  $\beta$  are the zeros of the polynomial f(x) =  $x^2$  +x+1, then  $\frac{1}{\alpha}$  + $\frac{1}{\beta}$   = _______

• 1

• -1

• 0

• none of these

Find the number of zeros of the given polynomial p(x) in the above graph is ______

• 1

• 3

• 2

• 4

If  $\alpha$  and  $\beta$  are the zeros of  $x^2$  +5x + 8 then the value of ( $\alpha$  + $\beta$  ) is _________

• 5

• -5

• 8

• -8

What is the degree classification of this polynomial?
x²+4x-8

• binomial
• trinomial
• quadratic
• cubic

Which is an example of a linear polynomial?

• x²-5
• 6x+4
• 5x⁵
• 2x³-9x²

the zeros of the polynomial x² - 2x - 3 are _____

• -3 and 1

• -3 and -1

• 3 and -1

• 3 and 1

if $\alpha$  and  $\beta$   are the zeros of the polynomial 2 $x^2$  + 5x - 9 then the value of  $\alpha\times\beta$  is ______

•  $\frac{-5}{2}$  

•  $\frac{5}{2}$  

•  $\frac{-9}{2}$  

•  $\frac{9}{2}$  

The zeros of the polynomial x² + 3x - 10 are _______

• -3, 2

• -5, 2

• 3, - 2

• 5, -2

Remainder obtained when 2x² + 3x +1 is divided by x+2 is ______

• 2

• 5

• -7

• 3

Find the quadratic polynomial, the sum and product of whose zeros are -3 and 2 receptively?

• x² + 3x + 2

• 2x² + 7x + 10

• x² - 2x - 8

• 3x² - x - 4