Question

find the zeros of Q-1using factorization
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Answer 1

Zero of a polynomial

• Definition. $\alpha$ is said to be a zero of order $r$ of the polynomial $f(x)$ if $(x-\alpha)^{r}$ is a factor of $f(x).$

• Theorem. $\alpha$ is a zero of order $r$ of the polynomial $f(x)$ if and only if $f(\alpha)=f'(alpha)=...=f^{r-1}(\alpha)=0$ and $f^{r}(\alpha)\neq 0.$

Example:

In this method of factorization, we will find zeroes of any given polynomial.

Let any polynomial be

$\quad\quad f(x)=ax^{2}+bx+c$

We will say, $f(x)$ is factorised when

$\quad\quad ax^{2}+bx+c=(px+q)(rx+s)$

where both $p$ and $q$ are integers.

Read more on Brainly.in

Solve the following quadratic equation by factorization:

$\quad (\frac{x}{x+1})^2 - 5(\frac{x}{x+1})+ 6 =0$

https://brainly.in/question/3061840