Math, asked by kvndbhavani, 1 year ago

factorise x^2+5x+4 plz give me answer fast ​

Answers

Answered by shashu2004
0

Answer:

answer is (x+4)(x+1)

Step-by-step explanation:

given,

        =x^2+ 5x+4

        =x^2+4x+1x+4

        =x(x+4)+1(x+4)

        =(x+4)(x+1)=x=-1,-4

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Answered by Abhishek474241
12

✪AnSwEr

{\tt{\red{\underline{\large{Given}}}}}

  • A polynomial

  • x²+5x+4

{\sf{\green{\underline{\large{To\:Find}}}}}

  • Factors of the polynomial

  • Relationship between cofficient

{\sf{\pink{\underline{\Large{Explanation}}}}}

x²+5x+4

  • we have to spilt the middle term in such a way that the product become 4 and sum become 5

x²+5x+4

=>x²+5x+4

=>x²+4x+x+4

=>x(x+4)+1(x+4)

=>(x+4) (x+1)

=>x=-1,-4

Additional Information

Let the zeroes of the polynomial be\tt\alpha{and}\beta

Then,

\rightarrow\tt\alpha{+}\beta{=}\frac{-b}{a}

&

\rightarrow\tt\alpha{\times}\beta{=}\frac{c}{a}

Here,

a=1

b=5

C=4

\rightarrow\tt\alpha{+}\beta{=}\dfrac{-(5)}{1}

\rightarrow\tt\alpha{+}\beta{=}\dfrac{-(Cofficient\:of\:X)}{Cofficient\:of\:x^2}=

&

\rightarrow\tt\alpha{\times}\beta{=}\dfrac{4}{1}

\rightarrow\tt{\large\alpha{\times}\beta{=}\dfrac{Constant\:term}{Cofficient\:of\:x^2}}

Hence,relation verified

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