# Worksheet on Polynomial

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**Worksheet on Polynomial**

1. If α, β be the zeros of the quadratic polynomial 2x

^{2}+ 5x + 1, then value of α + β + αβ =

a) – 2 b) – 1 c) 1 d) none of these

2. If α, β be the zeros of the quadratic polynomial 2 – 3x – x

^{2}, then α + β =

a) 2 b) 3 c) 1 d) none of these

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

a) x

^{2}– x + 12 b) x

^{2}+ x + 12 c) x

^{2}+2 d) 2x

^{2}+ 2 x – 24

4. Quadratic polynomial having zeros 1 and –2 is

a) x

^{2}– x + 2 b) x

^{2}+ x – 2 c) x

^{2}– x – 2 d) none of these

5. Quadratic polynomial having sum of its zeros 5 and product of its zeros

– 14 is

a) x

^{2}– 5 x – 14 b) x

^{2}– 10 x – 14 c) x

^{2}–5x +14 d) none of these

6. The zeros of the quadratic polynomial x

^{2}+ k x + k , k ≠ 0,

a) cannot be both positive b) cannot be both negative c) are always unequal d) are always equal

7. If the zeros of the quadratic polynomial ax

^{2}+b x + 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

8. If α, β, γ be the zeros of the cubic ax

^{3}+ bx

^{2}+ 4x + 7, then value of

αβ+ βγ+ αγ =

a) – 4 b)-2 c) 1 d) none of these

9. If one of the zeros of a quadratic polynomial of the form x

^{2}+ ax + b is 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.

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

11. If one of the zeros of the quadratic polynomial ax

^{2}+ b x + c , a ≠ 0, is zero, then the other zero is

a) c/a b) a/b c) -a/b d)-b/a

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