Question

Factor the trinomal
x^2+11x+30
a. (x+10) (x+3)
b. (x+7) (x+4)
c. (x-6) (x-5)
d. (x+6) (x+5)

Answer 1

simplify the independent coefficient, 30, what factors would it give? well, it has


so, your factors are 5, 3 and 1

now, just find 2 values that , multiplied will give 30, and added together will give 11
$$
x^2+\color{blue}{11}x+\color{red}{30} \implies (x\pm \ \ ?)(x \pm \ \ ?)
$$