Question

find the product of (x+5)(x+2)​

Answer 1

Answer:

${x}^{2} + 2x + 5x + 10 \\ \\ {x}^{2} + 7x + 10$

Answer 2

Answer:

the product will be a quadratic polynomial in form of x.

quadratic polynomial:-

the polynomial which is generally in the form of

$a {x}^{2} + bx + c$

firstly we should multiply both to get their product in form of quadratic polynomial as :-

$(x + 5)(x + 2) \\ = {x}^{2} + 2x + 5x + 10 \\ = {x}^{2} + 7x + 10$

so the required answer is

$\huge{ {x}^{2} } + 7x + 10$

if we do its frctor then we will get those terms which are given in question as :-

${x}^{2} + 7x + 10 \\ = {x}^{2} + 5x + 2x + 10 \\ = x(x + 5) + 2(x + 5) \\ = (x + 5)(x + 2)$