Embibe Experts Solutions for Chapter: Polynomials, Exercise 1: Exercise

$P\left(x\right)=3x^4-5x^2+7$ 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 $a_3$?

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

If the graph of a quadratic polynomial lies entirely above $x$-axis, then which one of the following is correct?

If $x^3-3x^2+3x-7=\left(x+1\right)\left(a{x}^2+bx+c\right)$, then $a+b+c=$

The graph of $y=-5x^2+2x-4$

Consider a quadratic polynomial $f\left(x\right)=a{x}^2+x+c$ such that $ac>\frac{1}{8}$ and its graph completely lies below $x$-axis, then

Sketch the graph of the function $f\left(x\right)=-0.01x^2+0.5x+2.56$

Draw the graph of the polynomial $p\left(x\right)=x^2-2x-8$.