CBSE Class 10 Mathematics Polynomials MCQs Set 02

Question. If α,β are the zeroes of the polynomials f(x) = x² + x + 1, then 1/α + 1/β
(a) 0
(b) 1
(c) –1
(d) none of these

Question. If α,β are the zeroes of the polynomials f(x) = x² + 5x + 8, then α +β
(a) 5
(b) –5
(c) 8
(d) none of these

Question. If α,β are the zeroes of the polynomials f(x) = x² + 5x + 8, then α.β
(a) 0
(b) 1
(c) –1
(d) none of these

Question. On dividing x³ + 3x² + 3x +1 by x +π we get remainder:
(a) - π3 + 3π2 - 3π + 1
(b) π3 - 3π2 + 3π+1
(c) - π3 - 3π2 - 3π-1
(d) - π3 + 3π2 - 3π -1

Question. The zero of p(x) = 9x + 4 is:
(a) 4/9
(b) 9/4
(c) -4/9
(d) -9/4

Question. On dividing x³ + 3x² + 3x +1 by 5 + 2x we get remainder:
(a) 8/27
(b) -8/27
(c) -27/8
(d) 27/8

Question. A quadratic polynomial whose sum and product of zeroes are –3 and 4 is
(a) x² – 3x +12
(b) x² + 3x + 12
(c) 2x² + x – 24
(d) none of the above

Question. A quadratic polynomial whose zeroes are 3/5 and -1/2 is
(a) 10x² – x – 3
(b) 10x² + x – 3
(c) 10x² – x + 3
(d) none of the above.

Question. A quadratic polynomial whose sum and product of zeroes are 0 and 5 is
(a) x² – 5
(b) x² + 5
(c) x² + x – 5
(d) none of the above.

Question. A quadratic polynomial whose zeroes are 1 and –3 is
(a) x² – 2x – 3
(b) x² + 2x – 3
(c) x² – 2x + 3
(d) none of the above.

Question. A quadratic polynomial whose sum and product of zeroes are –5 and 6 is
(a) x² – 5x – 6
(b) x² + 5x – 6
(c) x² + 5x + 6
(d) none of the above.

Question. Which are the zeroes of p(x) = x² + 3x – 10 :
(a) 5, –2
(b) –5, 2
(c) –5, –2
(d) none of these

Question. Which are the zeroes of p(x) = 6x² – 7x – 3 :
(a) 5, –2
(b) –5, 2
(c) –5, –2
(d) none of these

Question. Which are the zeroes of p(x) = x² + 7x + 12 :
(a) 4, –3
(b) –4, 3
(c) –4, –3
(d) none of these

Question : The degree of the polynomial whose graph is given below:
(a) 1
(b) 2
(c) ≥3
(d) cannot be fixed

Question : If the sum of the zeroes of the polynomial 3x² – kx + 6 is 3, then the value of k is:
(a) 3
(b) –3
(c) 6
(d) 9

Question : The other two zeroes of the polynomial x³ – 8x² + 19x – 12 if tis one zeroes is x = 1 are:
(a) 3, –4
(b) –3, –4
(c) –3, 4
(d) 3, 4

Question : The quadratic polynomial, the sum and product of whose zeroes are –3 and 2 is:
(a) x² – 3x + 2
(b) x² + 3x – 2
(c) x² + 3x + 2
(d) none of the these.

Question : The third zero of the polynomial, if the sum and product of whose zeroes are –3 and 2 is:
(a) 7
(b) –7
(c) 14
(d) –14

Question. If √5/3 and -√5/3 are two zeroes of the polynomial 3x⁴ + 6x³ – 2x² – 10x – 5, then its other two zeroes are:
(a) –1, –1
(b) 1, –1
(c) 1, 1
(d) 3, –3

Question. If a – b, a and a + b are zeroes of the polynomial x³ – 3x² + x + 1 the value of (a + b) is
(a) 1± √2
(b) -1±√2
(c) -1-√2
(d) 3

Question. A real numbers a is called a zero of the polynomial f(x), then
(a) f(a) = –1
(b) f(a) = 1
(c) f(a) = 0
(d) f(a) = –2

Question. Which of the following is a polynomial:
(a) x²+1/x√z
(b) 2x² -3√x + 1
(c) x² + x^-2 + 7
(d) 3x² - 3x +1

Question. The product and sum of zeroes of the quadratic polynomial ax² + bx + c respectively are:
(a) b/a , c/a
(b) c/a , b/a
(c) c/b , 1
(d) c/a , -b/a

Question. The quadratic polynomial, sum and product of whose zeroes are 1 and –12 respectively is
(a) x² – x – 12
(b) x² + x – 12
(c) x² – 12x + 1
(d) x² – 12x – 1.

Question. If the product of two of the zeroes of the polynomial 2x³ – 9x² + 13x – 6 is 2, the third zero of the polynomial is:
(a) –1
(b) –2
(c) 3/2
(d) -3/2