@pooja195

If 1 factor of 15x3 + 44x2 + 20x − 16 is (x + 2), what are the other 2 factors?

(3x − 4) and (5x + 2)
(5x + 4) and (3x − 4)
(5x − 4) and (3x + 4)
(3x + 4) and (5x − 2)

Question

@pooja195

If 1 factor of 15x3 + 44x2 + 20x − 16 is (x + 2), what are the other 2 factors?

 (3x − 4) and (5x + 2)
 (5x + 4) and (3x − 4)
 (5x − 4) and (3x + 4)
 (3x + 4) and (5x − 2)

some.random.cool.kid · Answer

@Somy @inkyvoyd @whpalmer4 @welshfella @ganeshie8 @Astrophysics @Abhisar can any of you help with this? and i may need help with 4 more after this one.

some.random.cool.kid · Answer

I tried math section and they said they didn't know so...

anonymous · Answer

just replied you on the mathematics section

whpalmer4 · Answer

If you know that $(x+2)$ is a factor of the polynomial, divide the polynomial by $(x+2)$ to get a simpler polynomial with the same factors, and factor that.

Another way you can approach this, given that you have a fixed set of answers to choose from, is that if you have a polynomial $$P(x) = (x+a)(x+b)(x+c)...(x+z)$$the constant term in the polynomial will be $$a*b*c*...*z$$You can eliminate two possible choices here by that reasoning.