Question

The quadratic polynomial, the sum of whosezeroes is -5 and their product 6 is a) x2 + 5x + 6 b) x2 - 5x + 6 c) x2 - 5x-6 d) -x2 + 5x + 6​

Answer 1

Answer:

Step-by-step explanation:  x^2-(-5) x+6

                                             x^2+5x+6

Answer 2

Given :-

The sum and product of zeroes of a quadratic polynomial are - 5 and 6

To Find :-

The quadratic polynomial

Solution :-

Before we start the solution , let's recall how to form a quadratic polynomial if it's sum and product of zeroes are given

Let us assume the polynomial to be p ( x ) whose

$\quad \qquad \begin{cases} \bf Sum \: of \: zeroes \: = \: S \\ \\ \bf Product \: of \: zeroes \: = P \end{cases}$

Then the quadratic polynomial formed is given by ${ \pmb { \green { \bf { x² - S x + P }}}}$

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So , here

• S = - 5
• P = 6

Now , the quadratic polynomial will be ;

$\quad \leadsto \quad \sf x² - Sx + P$

${ : \implies \quad \sf x² - ( - 5 )x + 6 }$

${ : \implies \quad \bf \therefore \quad x² + 5x + 6 }$

Henceforth , Option (a) x² + 5x + 6 is correct :)