Question

ticket - polynomial operations 4
write your answers in standard form.
$(x - 1)(4x - 3)$
$4x^2$

Explanation:

Step1: Apply FOIL method (First terms)

Multiply first terms of each binomial:
$x \times 4x = 4x^2$

Step2: Apply FOIL method (Outer terms)

Multiply outer terms of the binomials:
$x \times (-3) = -3x$

Step3: Apply FOIL method (Inner terms)

Multiply inner terms of the binomials:
$-1 \times 4x = -4x$

Step4: Apply FOIL method (Last terms)

Multiply last terms of each binomial:
$-1 \times (-3) = 3$

Step5: Combine all terms

Sum the results from Steps 1-4:
$4x^2 - 3x - 4x + 3$

Step6: Combine like terms

Combine the linear terms:
$4x^2 + (-3x - 4x) + 3 = 4x^2 -7x +3$

Answer:

$4x^2 -7x +3$