Question

Find a quadratic polynomial whose roots are and -1
4​

Answer 1

Answer:

$x^{2} -3x-4$

Step-by-step explanation:

x=-1

or, x+1=0

Similarly

x=4

or, x-4=0

Hence the quadratic equation is

(x+1)(x-4)=0

$x^{2} +x-4x-4=0\\or, x^{2} -3x-4=0$

Answer 2

Answer:

x 2−3

x=-1

or, x+1=0

Similarly

x=4

or, x-4=0

Hence the quadratic equation is

(x+1)(x-4)=0

\begin{gathered}x^{2} +x-4x-4=0\\or, x^{2} -3x-4=0\end{gathered}

x

2

+x−4x−4=0

or,x

2

−3x−4=0