TEST OF POLYNOMIAL ( CLASS-10). MM-20
1. If α and β are the zeroes of the quadratic polynomial p(x) = x² – 5x + 4, then
1/α + 1/β - 2 α β equals:
(a) 27/4. (b) −27/4. (c) 4/27. (d) −4/27
2. If the sum of the zeroes of the polynomial p(x) = 2x³ – 3kx² + 4x – 5 is 6, then the value of k is :
(a) 2. (b) 4 (c) –2. (d) –4
3. If the product of the zeroes of the polynomial p(x) = ax³ – 6x² + 11x – 6 is 4, then the value of a is :. (a) 1/2. (b) 5/3. (c) 3/2. (d) −1/5
4. .If α and β are the zeroes of the polynomial p(x) = x² + px + q, then a polynomial having 1/α and 1/β as its zeroes is :
(a) x² + px/q + 1/q (b) x² - px/q + 1/q (c) x² - px/q - 1/q (d) x² + px/q + 1/q
5. . If α and β are the zeroes of p(x) = x² – 5x + b and α - β =1, then b is :
(a) 1 . (b) 6 (c) 4 (d) 0
6. If a and b are zeroes of x² + 4x + 4 then
(a) a=b, a + b = –4 (b) a = –b, a + b = 4 (c) a = b, a + b = 4 (d) a = –b, a + b = –4
7. If α and β are the zeroes of the quadratic polynomial p(x) = x² – 5x + 4, then
1/α + 1/β - 2 α β equals:
(a) 27/4 (b) −27/4 (c) 4/27 (d) −4/27
8. The sum of the zeroes of the polynomial 2x² – 8x + 6 is :
(a) –3 . (b) 3 (c) –4 (d) 4
9. If one zero of the quadratic polynomial 2x² – 3x + p is 3, then its other zero is :
(a) −3/2 (b) 3/2 (c) ½ (d) – 1/
10. . If two zeroes of a quadratic polynomial are 5 – 3√2 and 5 + 3√2 , then the quadratic polynomial is :
(a) x² – 10x – 7 (b) x² – 10x + 6 (c) x² – 10x + 14 (d) x² – 10x +
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