Choose the Correct options
0 of 30 questions completed
Questions:
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading…
You must sign in or sign up to start the quiz.
You must first complete the following:
0 of 30 questions answered correctly
Your time:
Time has elapsed
You have reached 0 of 0 point(s), (0)
Earned Point(s): 0 of 0, (0)
0 Essay(s) Pending (Possible Point(s): 0)
Average score 

Your score 

If \(\alpha \ \& \ \beta \) are the zeroes of \(f(x) = {x^2} + x + 1\) then \(\dfrac{1}{\alpha } + \dfrac{1}{\beta }\) is?
If one zero of two polynomial \(f(x) = ({k^2} + 4){x^2} + 13x + 4k\) is reciprocal of the other, then k is?
Let first zero is
Second zero
If sum of the zeroes of the polynomial \(f(x) = 2{x^3} – 3k{x^2} + 4x – 5\)is 6 then the value of k is?
Sum of zeroes
If \(\alpha ,\beta \) are the zeroes of the polynomial \(p(x) = {x^2} – p(x + 1) – c\) then \((\alpha + 1)(\beta + 1)\) is?
If the polynomial \(f(x) = a{x^3} + bx – c\) is divisible by \(g(x) = {x^2} + bx + c\) then ab is?
*** QuickLaTeX cannot compile formula: {x^2} + bx + c\mathop{\left){\vphantom{1\begin{array}{l}a{x^3} + bx  c\\\underline \begin{array}{l}a{x^3} + ab{x^2} + acx\\  \,\,\,\,\,\,  \,\,\,\,\,\,\,\,\,\,\,\,\,  \end{array} \\  ab{x^2} + \left( {b  ac} \right)x  c\\\underline \begin{array}{l}  ab{x^2}  a{b^2}x  abc\\ + \,\,\,\,\,\,\,\, + \,\,\,\,\,\,\,\,\,\,\,\,\,\, + \end{array} \\\left( {b  ac + a{b^2}} \right)x + abc  c\end{array}}}\right) \!\!\!\!\overline{\,\,\,\vphantom 1{\begin{array}{l}a{x^3} + bx  c\\\underline \begin{array}{l}a{x^3} + ab{x^2} + acx\\  \,\,\,\,\,\,  \,\,\,\,\,\,\,\,\,\,\,\,\,  \end{array} \\  ab{x^2} + \left( {b  ac} \right)x  c\\\underline \begin{array}{l}  ab{x^2}  a{b^2}x  abc\\ + \,\,\,\,\,\,\,\, + \,\,\,\,\,\,\,\,\,\,\,\,\,\, + \end{array} \\\left( {b  ac + a{b^2}} \right)x + abc  c\end{array}}}} \limits^{\displaystyle\,\,\, {ax  ab}} *** Error message: Argument of \begin has an extra }. leading text: ...c + a{b^2}} \right)x + abc  c\end{array}} Paragraph ended before \begin was complete. leading text: ...c + a{b^2}} \right)x + abc  c\end{array}} Missing } inserted. leading text: ...c + a{b^2}} \right)x + abc  c\end{array}} Extra }, or forgotten $. leading text: ...c + a{b^2}} \right)x + abc  c\end{array}} Missing } inserted. leading text: ...c + a{b^2}} \right)x + abc  c\end{array}} Extra }, or forgotten $. leading text: ...c + a{b^2}} \right)x + abc  c\end{array}} Missing } inserted. leading text: ...c + a{b^2}} \right)x + abc  c\end{array}} Extra }, or forgotten $. leading text: ...c + a{b^2}} \right)x + abc  c\end{array}} Missing } inserted. leading text: ...c + a{b^2}} \right)x + abc  c\end{array}}
The remainder must be zero
Then
If one root of the polynomial \(f(x) = 5{x^2} + 13x + k\) is reciprocal of the other, then value of k is?
Find the value of the polynomial \(p(x) = {x^2} + 3x – 2\) when x=1.
If two of the zeroes of the cubic polynomial \(a{x^3} + b{x^2} + cx + d\) are each equal to zero, then the third zero is.
Let be its zeroes
If two zeroes of \({x^3} + {x^2} – 5x – 5\) are \(\sqrt 5 \ \& – \ \sqrt 5 \) then its third zero is?
The product of the two zeroes \({x^3} + 4{x^2} + x – 6\) is?
a=1,b=4,c=1,d=6
What should be subtracted to the polynomial \({x^2} – 16x + 30\) so, that 15 is the zero of the resulting polynomial?
F(15)=0
A quadratic polynomial, the sum of whose zeroes is 0 and is zeroes is 3 is?
If one zero of the quadratic polynomial \({x^2} + 3x + k = 2\) then the value of k is?
The value of p for which the polynomial \({x^3} + 4{x^2} – px + 8\) is exactly divisible by (x2) is?
If \(\alpha ,\beta \) are zeroes of \({x^2} – 6x + k\) what is the value of k if \( 3\alpha + 2\beta = 20\)
What are the zeroes of the polynomial \(p(x) = 7{x^3} – 27{x^2} + 32x – 12\)
If (x+1) is a factor of \({x^2} – 3ax + 3a – 7\)then find the value of a?
If \(\alpha \ \&ย \ \beta \) are zeroes of \({x^2} – 4x + 1\) then \(\dfrac{1}{\alpha } + \dfrac{1}{\beta } – \alpha \beta \) is?
Identify the quadratic polynomial with no zeroes?
The curve of a quadratic polynomial with no zeroes doesnโt intersect the xaxis at any point.
If \(f(x) = a{x^2} + bx + c \) has no real zeroes and \( a + b + c < 0\) then
But
Find the common zeroes of the polynomial \({x^3} + 5{x^2} – 9x – 45\) and \({x^3} + 8{x^2} + 15x\)
The sum of the zeroes of the polynomial \({x^2} – 6x + 5\) is?
Sum
The product of the zeroes of the polynomial \(4{x^2} – 7x\) is?
product
The polynomial whose zeroes are 5, 6 are?
Sum of zeroes =5+6=11
Product
(sum of roots)x + product of zeroes
The polynomial whose zeroes are \(3 + \sqrt 3 , \ 3 – \sqrt 3 \) is?
Sum of zeroes
Polynomial
If \(\alpha \ \& \ \beta \)are the roots of the polynomial \(a{x^2} + bx + c\), the value of \({\alpha ^2} + {\beta ^2}\) is?
Sum of zeroes
Product of zeroes
If a and b are the zeroes of polynomial \(3{x^2} + 11x – 4\), the value of \(\dfrac{a}{b} + \dfrac{b}{a}\) is?
If p and q are the zeroes of the polynomial \(p(x) = {x^2} – 5x + k\) such that pq=1, the value of k is?
From 1 and 3
P=3 and q=2
Substituting in equation 2 we get
K=6
If l and m are zeroes of the polynomial \(p(x) = 2{x^2} – 5x + 7\) find a polynomial whose zeroes are 2l+3 and 2m+3
If one of the zeroes of the quadratic polynomial \((p – 1){x^2} + px + 1\) is 3, then the value of p is?