The quadratic can be written as where and are integers

MATHEMATICS · Single correct · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

The quadratic

x^{2}-8x+15

can be written as

(x+m)(x+n)

where

m

and

n

are integers. Which of the following correctly describes the signs of

m

and

n

? (a) One of

m

n

is positive and the other is negative (b) Both

m

and

n

are negative (c) Both

m

and

n

are positive (d)

m

and

n

are not integers (the quadratic is not factorable over integers)