Question

factorise xsquare+5x+4​

Answer 1

Answer:

(x+1) (x+4)

Step-by-step explanation:

Because the constant has a postive charge, we know both the brackets will have the same sign. And because the middle term has postive charge, we know the sign for both brackets will be a "+". Now, we look at the constant's factors which are 1, 2 and 4.

2 multiplied by 2 will give a four, that's true but it wouldn't add up to the middle term, which is a 5.

Thus, we take the factors 1 and 4 which satisfy both the constant and the middle term.

Answer 2

Answer:

(x+4)(x+1)

Step-by-step explanation:

${x}^{2} + 5x + 4 \\ = {x}^{2} + (4 + 1)x + 4 \\ = {x}^{2} + 4x + x + 4 \\ = x(x + 4) + 1(x + 4) \\ = (x + 4)(x + 1)$

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