Polynomials

A polynomial of degree 1 is called:
a) Linear polynomial
b) Quadratic polynomial
c) Cubic polynomial
d) None of these
Answer: a
A polynomial of degree 2 is called:
a) Linear polynomial
b) Quadratic polynomial
c) Cubic polynomial
d) None of these
Answer: b
A polynomial of degree 3 is called:
a) Linear polynomial
b) Quadratic polynomial
c) Cubic polynomial
d) None of these
Answer: c
The general form of a quadratic polynomial is:
a)
ax+bax + b

b)
ax2+bx+cax^2 + bx + c

c)
ax3+bx2+cx+dax^3 + bx^2 + cx + d

d)
a+bx+cx2a + bx + cx^2

Answer: b
The general form of a cubic polynomial is:
a)
ax+bax + b

b)
ax2+bx+cax^2 + bx + c

c)
ax3+bx2+cx+dax^3 + bx^2 + cx + d

d) None of these
Answer: c
If
p(x)=x2−3x−4p(x) = x^2 – 3x – 4
, what is
p(2)p(2)
?
a) -6
b) 0
c) 6
d) 8
Answer: a
For
p(x)=x2−3x−4p(x) = x^2 – 3x – 4
, the zeroes of the polynomial are:
a) -1, 4
b) -4, 1
c) 0, 4
d) -2, 3
Answer: a
A polynomial is said to be linear if its graph is:
a) A parabola
b) A circle
c) A straight line
d) None of these
Answer: c
The number of zeroes of a quadratic polynomial is:
a) At most 1
b) At most 2
c) At most 3
d) None of these
Answer: b
The graph of
y=x2−3x−4y = x^2 – 3x – 4
cuts the x-axis at:
a) Two points
b) One point
c) No points
d) Infinite points
Answer: a
The value of
p(x)p(x)
at a given
x=kx = k
is found by:
a) Dividing
xx
by
kk

b) Replacing
xx
with
kk
$k$ in
p(x)p(x)

c) Adding
xx
and
kk

d) None of these
Answer: b
If
p(x)=x2−5x+6p(x) = x^2 – 5x + 6
, its zeroes are:
a) 2, 3
b) -2, -3
c) 1, 6
d) None of these
Answer: a
The relationship between zeroes and coefficients of a quadratic polynomial is:
a) Sum of zeroes =
−coefficient of xcoefficient of x2-\frac{\text{coefficient of } x}{\text{coefficient of } x^2}

b) Product of zeroes =
constant termcoefficient of x2\frac{\text{constant term}}{\text{coefficient of } x^2}

c) Both a and b
d) None of these
Answer: c
The graph of a quadratic polynomial is called:
a) Line
b) Parabola
c) Hyperbola
d) Circle
Answer: b
A cubic polynomial can have at most:
a) 2 zeroes
b) 3 zeroes
c) 4 zeroes
d) None of these
Answer: b
The zeroes of the quadratic polynomial
x2+7x+10x^2 + 7x + 10
are:
a) -2, -5
b) 2, -5
c) 2, 5
d) -3, -7
Answer: a
The zero of the linear polynomial
2x+32x + 3
is:
a) -3
b)
32\frac{3}{2}

c)
−32-\frac{3}{2}

d) 2
Answer: c
For a quadratic polynomial
x2+px+qx^2 + px + q
, the product of its zeroes is:
a)
qq

b)
−q-q

c)
−p-p

d)
pp

Answer: a
The sum of the zeroes of the polynomial
2x2−8x+62x^2 – 8x + 6
is:
a) -4
b) 4
c) -2
d) 2
Answer: c
If the zeroes of a polynomial are equal, its graph:
a) Cuts the x-axis at two points
b) Touches the x-axis at one point
c) Does not touch the x-axis
d) None of these
Answer: b
A polynomial of degree 0 is:
a) Linear polynomial
b) Constant polynomial
c) Quadratic polynomial
d) None of these
Answer: b
If
p(x)=x2−5x+6p(x) = x^2 – 5x + 6
then
p(1)p(1)
is:
a) 2
b) 0
c) 6
d) -6
Answer: a
The number of zeroes of a linear polynomial is:
a) 0
b) 1
c) 2
d) Infinite
Answer: b
For
x2−7x+12x^2 – 7x + 12
the sum of zeroes is:
a) -7
b) 7
c) -12
d) 12
Answer: b
For the cubic polynomial
x3−4x2+5x−2x^3 – 4x^2 + 5x – 2
the product of its zeroes is:
a) -2
b) 2
c) -5
d) 4
Answer: a
The graph of a cubic polynomial intersects the x-axis:
a) At most 2 points
b) At most 3 points
c) At most 4 points
d) At most 5 points
Answer: b
A quadratic polynomial has:
a) At most 1 zero
b) At most 2 zeroes
c) At most 3 zeroes
d) Infinite zeroes
Answer: b
A polynomial of degree 4 can have at most:
a) 2 zeroes
b) 3 zeroes
c) 4 zeroes
d) Infinite zeroes
Answer: c
The value of
p(x)=3x2−2x+4p(x) = 3x^2 – 2x + 4
at
x=2x = 2
is:
a) 10
b) 8
c) 16
d) 12
Answer: d
The coefficient of
x2x^2
in the polynomial
2x2−3x+42x^2 – 3x + 4
is:
a) 1
b) 2
c) -3
d) 4
Answer: b
The value of
p(x)p(x)
at
x=0x = 0
is called:
a) Coefficient of
xx

b) Constant term
c) Zero of the polynomial
d) None of these
Answer: b
The degree of the polynomial
x3+4x2−x+6x^3 + 4x^2 – x + 6
is:
a) 2
b) 3
c) 4
d) 1
Answer: b
The sum of zeroes of the polynomial
x2−4x+3x^2 – 4x + 3
is:
a) -4
b) 4
c) -3
d) 3
Answer: b
The value of
xx
for which
p(x)=0p(x) = 0
is called:
a) Degree
b) Coefficient
c) Zero of the polynomial
d) Constant term
Answer: c
A polynomial with exactly two terms is called:
a) Monomial
b) Binomial
c) Trinomial
d) None of these
Answer: b
A polynomial that cannot be factored further is called:
a) Monomial
b) Irreducible polynomial
c) Binomial
d) None of these
Answer: b
The degree of a non-zero constant polynomial is:
a) 0
b) 1
c) Not defined
d) Infinite
Answer: a
If
x2+px+q=0x^2 + px + q = 0
then the sum of its zeroes is:
a)
pp

b)
−p-p

c)
−pq-\frac{p}{q}

d)
qq

Answer: b
The product of the zeroes of the polynomial
x2+4x+3x^2 + 4x + 3
is:
a) -3
b) 3
c) -4
d) 4
Answer: b
The zero of the polynomial
5x+105x + 10
is:
a) 2
b) -2
c) -1
d) 1
Answer: c
The polynomial
x3+3x2+3x+1x^3 + 3x^2 + 3x + 1
is:
a) Linear
b) Quadratic
c) Cubic
d) Constant
Answer: c
The graph of a cubic polynomial is:
a) A straight line
b) A parabola
c) A curve
d) None of these
Answer: c
A quadratic polynomial with roots
$1 and - 2$ is:
a)x2−x−2x^2 – x – 2

b)
x2+x−2x^2 + x – 2

c)
x2+x+2x^2 + x + 2

d)
x2−x+2x^2 – x + 2

Answer: b
A polynomial with no variable term is called:
a) Linear polynomial
b) Constant polynomial
c) Quadratic polynomial
d) None of these
Answer: b
The zeroes of the polynomial
x2−2x+1x^2 – 2x + 1
are:
a) 1, -1
b) 1, 1
c) -1, -1
d) None of these
Answer: b
A polynomial of degree 2 is also called:
a) Linear polynomial
b) Quadratic polynomial
c) Cubic polynomial
d) None of these
Answer: b
The coefficient of x
in the polynomial 3x2−5x+73x^2 – 5x + 7
is:
a) 3
b) -5
c) 7
d) 0
Answer: b
A polynomial of degree 1 is:
a) Quadratic polynomial
b) Linear polynomial
c) Cubic polynomial
d) None of these
Answer: b
The degree of the polynomial
4x3+3x2+2x+14x^3 + 3x^2 + 2x + 1
is:
a) 1
b) 2
c) 3
d) 4
Answer: c
If
p(x)=x2+x+1p(x) = x^2 + x + 1
then $p (1)$ is:
a) 1
b) 2
c) 3
d) 0
Answer: c