Question

$\pink{HELLO}$
​

Answer 1

__________________

♧Question♧

• Factorize ( x² + 5x + 6 )

♧Answer♧

• ➠x² + 5x + 6
• ➠x² + 3x + 2x + 6
• ➠x ( x + 3 ) + 2 ( x + 3 )
• ➠( x + 3 ) ( x + 2 ) Ans.

___________________

Answer 2

Answer : Given equation

Given equationGiven equationx2 + 5x + 6

Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.

Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term:

Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term::We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.

Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term::We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.On solving this we obtain, a = 3 and b = 2

Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term::We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.On solving this we obtain, a = 3 and b = 2Thus, the above expression can be written as:

Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term::We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.On solving this we obtain, a = 3 and b = 2Thus, the above expression can be written as:x2 + 5x + 6

Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term::We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.On solving this we obtain, a = 3 and b = 2Thus, the above expression can be written as:x2 + 5x + 6= x2 + 3x + 2x + 6

Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term::We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.On solving this we obtain, a = 3 and b = 2Thus, the above expression can be written as:x2 + 5x + 6= x2 + 3x + 2x + 6 = x(x + 3) + 2(x + 3)

Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term::We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.On solving this we obtain, a = 3 and b = 2Thus, the above expression can be written as:x2 + 5x + 6= x2 + 3x + 2x + 6 = x(x + 3) + 2(x + 3)= (x + 3)(x + 2)

Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term::We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.On solving this we obtain, a = 3 and b = 2Thus, the above expression can be written as:x2 + 5x + 6= x2 + 3x + 2x + 6 = x(x + 3) + 2(x + 3)= (x + 3)(x + 2)Thus, x+3 and x+2 are the factors of the polynomial x2 + 5x + 6.

Step by Step Explanation : Hope it helps...