Embibe Experts Solutions for Chapter: Theory of Equations, Exercise 1: Exercise

For the polynomial $3x^4-7x^3+4x^2+11$, what is the value of $a_1$?

For the polynomial $3x^4-7x^3+4x^2+11$, what is the value of $a_3$?

$P\left(x\right)=3x^4-5x^2+7$ and $Q\left(x\right)=2x^2-4x-3$

If $P\left(x\right)+Q\left(x\right)$ is written in standard form what is the value of $a_3$?

$P\left(x\right)=2x^3-6x^2-5x$ and $Q\left(x\right)=-3x^2+2x+1$
If $P\left(x\right)-Q\left(x\right)$ is written in standard form what is the value of $a_0$?

Given $n=5$, which of the following polynomials satisfies the condition $a_k=k+1$, for $k=0$ to $k=5?$

Use hit and trial method to solve the below equation.

$3x^3-4x^2+2x+9=0$

Use hit and trial method to solve the below equation.

$x^3-3x^2+6x+32=0$

Use hit and trial method to solve the below equation.

$4x^3-5x^2+9x-8=0$