What is the factored from of the polynomial. x^2 + 9x + 20

Step-by-step explanation:

Hello, the sum of the roots is -9=-4-5 and the product is 20=(-4)*(-5) so we can write

thanks

( x + 4 ) ( x + 5 )

Step-by-step explanation:

For this polynomial, we will factor the coefficient of the x^2 term and the constant.

The coefficient of x^2 is 1, which just factors to 1.

The constant 20 factors into 2 * 2 * 5.

Note, that our middle term coefficient is 9 and thus we want a pairing of 1 with either 2, 4, or 5 to make 9.   4 + 5 = 9, so we will choose that.

Using the standard binomials, we will factor the polynomial:

( x^2 + 9x + 20 )

= ( x + 4 ) ( x + 5)

We can check by performing foil:

= ( x + 4 ) ( x + 5 )

= ( x * x + x * 5) + ( 4 * x + 4 * 5)

= ( x^2 + 5x ) + ( 4x + 20 )

= ( x^2 + 9x + 20 )

Thus, we have successfully factored our polynomial.

Cheers.

quit

step-by-step explanation: