Polynomials Test

Result

Polynomials Test - 46

Score
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Weekly Quiz Competition

Question 1
1 / -0

The expansion $$\frac{1}{{\sqrt {4x + 1} }}\left[ {{{\left[ {\frac{{1 + \sqrt {4x + 1} }}{2}} \right]}^7} - {{\left[ {\frac{{1 - \sqrt {4x - 1} }}{2}} \right]}^7}} \right]$$ is a polynomial in x of degree

A
7

B
6

C
4

D
3

Solution
Question 2
1 / -0

The number of zeroes in the given graph y=p(x) is

A
4

B
2

C
0

D
1

Solution
Question 3
1 / -0

The expression $${ \left[ x+{ \left( { x }^{ 3 }-1 \right) }^{ 1/2 } \right] }^{ 5 }+{ \left[ x-{ \left( { x }^{ 3 }-1 \right) }^{ 1/2 } \right] }^{ 5 }$$ is a polynomial of degree

A
5

B
6

C
7

D
8

Solution
Question 4
1 / -0

If zeroes of polynomial
$$P\left( x \right) = a{x^2} + 3b{x^2} + 3cx + d$$
are in A.P, then $$2{b^3} - 3abc + {a^2}d\;is\;equal\;to\;$$

A
3

B
-3

C
0

D
cant't be determined

Solution
Question 5
1 / -0

If one zero of the polynomial $$f(x)=x^{4}-6x^{3}-26x^{2}+138x-35$$ is $$2-\sqrt{3}$$,then which of following represents its zeros.

A
-5,7

B
5,-7

C
4,-2

D
2,-4

Solution
Question 6
1 / -0

The values of a & b so that the polynomial $$ x^{3}-a x^{2}-13 x+b $$ is divisible by $$ (x-1) \&(x+3) $$ are

A
$$

a=15, b=3

$$

B
$$

a=3, b=15

$$

C
$$

a=-3, b=15

$$

D
$$

a=3, b=-15

$$
Question 7
1 / -0

If the graph of $$y=ax^3+bx^2+cx+d$$ is symmetric about the line $$x=K$$ then the value of $$a+K$$ is

A
$$c$$

B
$$c^2-bd$$

C
$$ - \frac {c}{2b}$$

D
$$ - \frac {b}{2c}$$

Solution
Question 8
1 / -0

If $$\alpha ,\beta $$ are zeros of $$p(x)=2x^2+5x+5$$, find the value of $$\alpha ^{-1}+\beta ^{-1}$$.

A
$$\frac 12$$

B
$$-\frac 12$$

C
1

D
-1

Solution
Question 9
1 / -0

The smallest integral value of a for which the equation $${ x }^{ 3 }-{ x }^{ 2 }+ax-a=o$$ have exactly one real root, is

A
-1

B
0

C
1

D
2

Solution
Question 10
1 / -0

The linear polynomial p(x)=7X-3 has the zero.....

A
7/3

B
3/7

C
-7/3

D
-3/7

Solution