Question

Name the binomial you can multiply by (x + 9) to get the product X2 + 5x - 36

Answer 1

To get -36 and 5x, is 9 times -4 and 4 minus 9. So (x-4)

Answer 2

The binomial you can multiply by (x+9) is (x-4) to get the product x²+5x-36

Solution-

The product is given by,

`=x^2+5x-36\\\\=x^2+9x-4x-36\\\\=x(x+9)-4(x+9)\\\\=(x+9)(x-4)`

The given polynomial is

`=(x+9)`

Let the other binomial is z, so

`\Rightarrow (x+9)* z=x^2+5x-36`

`\Rightarrow z=(x^2+5x-36)/(x+9)`

`\Rightarrow z=((x+9)(x-4))/(x+9)`

`\Rightarrow z=(x-4)`

Therefore, the other binomial is
`(x-4)`