Factor P(x)=x3 + 5x2+7x+12 into linear and irreducible quadratic factors with real coefficients. Let P(x)=(x+a)(x2+bx+c).Then a= b= c=

Question

Factor P(x)=x³ + 5x²+7x+12 into linear and irreducible quadratic factors with real coefficients.

Let P(x)=(x+a)(x²+bx+c).Then

a=

b=

c=

Answer 1

Use Rational Root Theorem to determine possible roots.

Use Synthetic Substitution/Division to depress/factor polynomial

These are techniques from Algebra 2.