Question

topic 10-4: factoring:
standard form of a quadratic
ax² + bx + c

1. 3x² - x - 2 a= ____ b = __ c = ____

your calculator calls them
a₂x² + a₁x + a₀ = 0
a₂=
a₁=
a₀=

1. x² + 3x - 4

a₂x² + a₁x + a₀ = 0
a₂=
a₁=
a₀=

Explanation:

Step1: Match to $Ax^2+Bx+C$

For $3x^2 - x - 2$:
$A=3$, $B=-1$, $C=-2$
Map to $a_2x^2+a_1x+a_0=0$: $a_2=A$, $a_1=B$, $a_0=C$

Step2: Match second quadratic to form

For $x^2 + 3x - 4$:
$a_2=1$, $a_1=3$, $a_0=-4$

Answer:

1. $A=3$, $B=-1$, $C=-2$

$a_2=3$, $a_1=-1$, $a_0=-2$

1. $a_2=1$, $a_1=3$, $a_0=-4$