Question

HELP! WILL GIVE BRAINLIEST!!! I think it's D please check

Answer 1

Answer:

(x + 5) (x^2 -3)

Step-by-step explanation:

$x^{3} +5x^{2} - 3x - 15$

Do the grouping:

$x^{3} +5x^{2} - 3x - 15 = (x^{3} +5x^{2}) + (-3x - 15)$

Then factor out $x^{2}$ in the first and −3 in the second group.

$x^{2}(x+5) - 3(x+5)$

Factor out the common term x + 5 by using the distributive property.

Polynomial $x^{2}-3$ is not factored in since it does not have any rational roots, thus getting the following:

$(x+5)(x^{2} -3)$

Answer 2

Answer:

the fourth option (x+5)(x²-3)

Step-by-step explanation:

the "-15" tells us we need a 3 and a 5 with different signs.

that eliminates the first and the second options.

and the "5x²" tells us it has to be +5, as there is only one part in the whole multiplication that delivers a x² term (5×x²).

it is also confirmed for the same reasons by "-3x" that the other number has to be -3.