Question

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

Answer 1

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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Answer 2

✪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