Question

please solve this question​

Answer 1

Given:

2x2 + 7x +3

Solution:

We need to find the factors of the given equation

Let us try factorizing this polynomial using splitting the middle term method.

Factoring polynomials by splitting the middle term:

In this technique we need to find two numbers ‘a’ and ‘b’ such that a + b =7 and ab = 6.

On solving this we obtain, a = 6 and b = 1

Thus, the above expression can be written as:

2x2 + 7x +3

= 2x2 + 6x + x + 3

= 2x ( X + 3 ) + (X + 3)

Removing ( x + 3 ) as a common factor

= (2x + 1) ( x + 3 )

Thus, x+3 and 2x+1 are the factors of the polynomial 2x2 + 7x +3

Answer 2

Answer:

$[/tex]</p><p>Given:</p><p></p><p>2x2 + 7x +3</p><p></p><p>Solution:</p><p>We need to find the factors of the given equation</p><p></p><p>Let us try factorizing this polynomial using splitting the middle term method.</p><p></p><p>Factoring polynomials by splitting the middle term:</p><p></p><p>In this technique we need to find two numbers ‘a’ and ‘b’ such that a + b =7 and ab = 6.</p><p></p><p>On solving this we obtain, a = 6 and b = 1</p><p></p><p>Thus, the above expression can be written as:</p><p></p><p>2x2 + 7x +3</p><p></p><p>= 2x2 + 6x + x + 3</p><p></p><p>= 2x ( X + 3 ) + (X + 3)</p><p></p><p>Removing ( x + 3 ) as a common factor</p><p></p><p>= (2x + 1) ( x + 3 )</p><p></p><p>Thus, x+3 and 2x+1 are the factors of the polynomial 2x2 + 7x +3</p><p>[tex]\huge\green{\boxed{\green{\mathcal{\overbrace{\underbrace{\fcolorbox{green}{aqua} {\underline{\green{ Anyway thanks!}}}}}}}}}$