Polynomials - MCQ Test | 10 Questions MCQ Test

QUESTION: 1

If the quotient and remainder were 3y - 5 and 9y + 10, on dividing 3y³ + y² + 2y + 5 by g(y). Find g(y)

A.
y² - 2y + 1
B.
y² + 2y + 1
C.
y² -2y - 1
D.
2y² - 2y - 1

Solution: 3Y3+Y2+2Y+5=(aY2+bY+c)(3Y-5)+9Y+19
=3aY3+(3b-5a)Y2+(3c-3b+9)Y-5c+10

Equate coefficient of Y3, Y2, Y, we get
a=1, b=2, and c=1
Hence,
aY2+bY+c=Y2+2Y+1

QUESTION: 2

Obtain the zeroes of the quadratic polynomial pqx² + (q² - Pr)x - qr

Solution:

QUESTION: 3

If two of the zeroes are and . Find the other zeroes of t⁴ - 6t³ - 26t² + 138^t - 35

A.
7 and 5
B.
7 and - 5
C.
(-6, 7)
D.
(-5 and -7)

Solution:

QUESTION: 4

If p and q are the zeroes of the quadratic polynomial 4x² - 1 = 0. Find the value of p² + q²

A.
3/2
B.
1/4
C.
1/2
D.
1

Solution:

QUESTION: 5

Find the zeroes of the quadratic polynomial x² + 19 x + 90

A.
-9, -10
B.
9, 10
C.
4, 5
D.
-4, -5

Solution:

QUESTION: 6

Find the sum and product of zeroes of the polynomial

Solution:

QUESTION: 7

Find the zeroes of the polynomial x² - 21

A.
B.
-3, 3
C.
D.
none of these

Solution:

QUESTION: 8

Find the sum and product of the zeroes of polynomial x² - 51

A.
0, 51
B.
0, -51
C.
2, 51
D.
-2, 51

Solution:

QUESTION: 9

If p and q are the zeroes of the polynomial x² - 5x - k. Such that p - q = 1, find the value of K

A.
6
B.
7
C.
8
D.
9

Solution:

QUESTION: 10

Find the sum and product of the zeroes of cubic polynomial 2x³ - 5x² - 14x + 8.

A.
5/2, -4
B.
-5/2, -4
C.
-5/2, 4
D.
5/2, 4

Solution:

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If the quotient and remainder were 3y - 5 and 9y + 10, on dividing 3y³ + y² + 2y + 5 by g(y). Find g(y)

Obtain the zeroes of the quadratic polynomial pqx² + (q² - Pr)x - qr

If two of the zeroes are and . Find the other zeroes of t⁴ - 6t³ - 26t² + 138^t - 35

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