Question

try: identify a, b and c in each trinomial below.
$- 4x^{2} + 3x - 7$
$x^{2} + 5x + 7$
$- 45x^{2} + 2x - 6$
$a = ______$
$a = ______$
$a = ______$
$b = ______$
$b = ______$
$b = ______$
$c = ______$
$c = ______$
$c = ______$

Explanation:

For the trinomial \(-4x^{2}+3x - 7\)

Step1: Identify \(a\) (coefficient of \(x^{2}\))

In the trinomial \(-4x^{2}+3x - 7\), the coefficient of \(x^{2}\) is \(-4\), so \(a=-4\).

Step2: Identify \(b\) (coefficient of \(x\))

The coefficient of \(x\) in the trinomial is \(3\), so \(b = 3\).

Step3: Identify \(c\) (constant term)

The constant term in the trinomial is \(-7\), so \(c=-7\).

For the trinomial \(x^{2}+5x + 7\)

Step1: Identify \(a\) (coefficient of \(x^{2}\))

In the trinomial \(x^{2}+5x + 7\), the coefficient of \(x^{2}\) is \(1\) (since \(x^{2}=1\times x^{2}\)), so \(a = 1\).

Step2: Identify \(b\) (coefficient of \(x\))

The coefficient of \(x\) in the trinomial is \(5\), so \(b=5\).

Step3: Identify \(c\) (constant term)

The constant term in the trinomial is \(7\), so \(c = 7\).

For the trinomial \(-45x^{2}+2x-6\)

Step1: Identify \(a\) (coefficient of \(x^{2}\))

In the trinomial \(-45x^{2}+2x - 6\), the coefficient of \(x^{2}\) is \(-45\), so \(a=-45\).

Step2: Identify \(b\) (coefficient of \(x\))

The coefficient of \(x\) in the trinomial is \(2\), so \(b = 2\).

Step3: Identify \(c\) (constant term)

The constant term in the trinomial is \(-6\), so \(c=-6\).

Answer:

For \(-4x^{2}+3x - 7\):
\(a=-4\), \(b = 3\), \(c=-7\)

For \(x^{2}+5x + 7\):
\(a = 1\), \(b=5\), \(c = 7\)

For \(-45x^{2}+2x-6\):
\(a=-45\), \(b = 2\), \(c=-6\)