Polynomials level 2 -

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Test Code: MC2L2

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1. The zeroes of the polynomial (x – 4)(x + 2) are:

A) 4 and 2

B) 4 and –2

C) –4 and 2

D) –4 and –2

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2. If α and β are zeroes of a quadratic polynomial, then the quadratic polynomial is:

A) x² – (α + β)x + αβ

B) x² + (α + β)x + αβ

C) x² – (α – β)x + αβ

D) x² – αx – β

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3. Which of the following has zeroes √15 and –√15?

A) x² – 30

B) x² + 15

C) t² – 15

D) x² – 15x

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4. On dividing by a polynomial g(x), the quotient and remainder were x − 2

and − 2x + 4, respectively. Find g(x).

A) x² – x + 2

B) x² – x – 1

C) 2x² – x + 1

D) x² – x + 1

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5. Which of these is not a valid factor of 3x² – x – 4?

A) (3x + 4)(x – 1)

B) (x – 2)(x – 2)

C) (3x – 4)(x + 1)

D) None of these

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6. If the product of the zeroes is 1 and sum is –2, the polynomial is:

A) x² – 2x + 1

B) x² + 2x – 1

C) x² + x – 1

D) x² + 2x + 1

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7. The graphs of y = p(x) are given in following figure,

for some polynomials p(x). Find the number of zeroes of p(x), in each case.

A) 3

B) 1

C) 0

D) 2

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8. The graphs of y = p(x) are given in following figure,

for some polynomials p(x). Find the number of zeroes of p(x), in each case.

A) 2

B) 0

C) 3

D) 1

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9. Find a quadratic polynomial each with the given numbers as the sum and product of its

zeroes respectively: 4, 1

A) x² – 4x – 4

B) 4x² – x – 4

C) 2x² – x – 4

D) None of these

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10. Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder

in each of the following: p(x) = x³ – 3x² + 5x – 3, g(x) = x² – 2

A) Quotient = x – 2, Reminder = 7x – 9

B) None

C) Quotient = x – 3, Reminder = 7x – 8

D) Quotient = x – 3, Reminder = 7x – 9

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11. For the quadratic polynomial 4s² – 4s + 1, the zeroes are:

A) None of these

B) s = 2, –2

C) s = 1/2 (repeated)

D) s = 2, –2

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12. Find the zeroes of the following quadratic polynomials and verify the relationship
between the zeroes and the coefficients: x² + 2x – 8

A) 2, 4

B) 4, 2

C) 4, -2

D) 3, 2

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13. Find the quadratic polynomial with zeroes –1 and 4

A) 4x² + x + 4

B) 4x² + x – 4

C) 4x² – x – 4

D) 4x² – x + 4

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14. Which polynomial has 0 and –2 as its zeroes?

A) x² + 2x

B) x² – 2

C) x² – 4x

D) x² – 2x

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15. Find zeroes of 6x² – 3 – 7x.

A) –1/2 and 2/2

B) –1/3 and 3/3

C) None of these

D) –1/3 and 3/2

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16. What is the product of the zeroes of 3x² – x – 4?

A) 3

B) 4

C) – 3

D) – 4

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17. Polynomial 3x² – x – 4 has which of the following as zero?

A) x = 3

B) x = 0

C) x = –1

D) x = –2

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18. What is the value of x for which the expression (x – 4)(x + 2) becomes zero?

A) x = –4 or x = 2

B) x = –2 only

C) x = 4 or x = –2

D) x = 0

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19. For the polynomial 4u² + 8u, what is the sum of its zeroes?

A) 2

B) – 2

C) 0

D) – 4

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20. Zeroes of x² – 5x + 6 are:

A) 2 and 3

B) 5 and 6

C) 1 and 6

D) –2 and –3

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