Question

What's the two binomial factors of this equation x²+11x+18?​

Answer 1

(x + 2)(x + 9)

Explanation:

when given a trionomial, you must multiply the last term (18) by the first term's coefficient.

1 * 18 = 18

then, expand the polynomial by finding two factors that SUM to the middle term's coefficient (11) and MULTIPLY to 18. these factors are 9 and 2.

9 * 2 = 18 and 9 + 2 = 11

expand the equation using these

x² + 9x + 2x + 18

factor by grouping

(x² + 9x)(2x + 18)

x(x + 9)2(x + 9)

remove one of the COMMON parenthetical factors (one factor will have an identical factor, in this case (x + 9))

(x + 2)(x + 9) are left.