ytrenpaisenpai
Answered

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Your answer should be a polynomial in standard form.

[tex]\[
3x\left(x^2 - 5x + 6\right) =
\][/tex]
[tex]\[\square\][/tex]

Sagot :

GinnyAnswer
To find the polynomial in standard form for the given expression [tex]\(3x(x^2 - 5x + 6)\)[/tex], follow these steps:

1. Distribute [tex]\(3x\)[/tex] through each term in the polynomial [tex]\(x^2 - 5x + 6\)[/tex]:

[tex]\[ 3x \cdot (x^2) + 3x \cdot (-5x) + 3x \cdot 6 \][/tex]

2. Perform the multiplication for each term:

[tex]\[ 3x \cdot x^2 = 3x^3 \][/tex]

[tex]\[ 3x \cdot (-5x) = -15x^2 \][/tex]

[tex]\[ 3x \cdot 6 = 18x \][/tex]

3. Combine these terms to write the polynomial in standard form:

[tex]\[ 3x^3 - 15x^2 + 18x \][/tex]

Thus, the polynomial in standard form for the expression [tex]\(3x(x^2 - 5x + 6)\)[/tex] is:

[tex]\[ 3x^3 - 15x^2 + 18x \][/tex]
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