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satela [25.4K]
3 years ago
10

Mikeply o binomial by a trinomial(x-1) (x²+x+1)​

Mathematics
2 answers:
Masteriza [31]3 years ago
8 0

Answer:

x³ - 1

Step-by-step explanation:

Given

(x - 1)(x² + x + 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis

x³ + x² + x - x² - x - 1 ← collect like terms

= x³ - 1

andrey2020 [161]3 years ago
7 0

Answer:

See if this is helpful

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Answer:

Step-by-step explanation:

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Given that f(x) = x2 + 10x + 21 and g(x) = x + 3, find f(x) · g(x) and express the result in standard form.
Zina [86]

Answer:

We conclude that:

f\left(x\right)\cdot g\left(x\right)=x^3+13x^2+51x+63

Step-by-step explanation:

Given

f\left(x\right)=\left(\:x^2\:+\:10x\:+\:21\right)

g(x)=x+3

Determining f(x) · g(x)

f\left(x\right)\cdot g\left(x\right)=\left(\:x^2\:+\:10x\:+\:21\right)\times \left(x+3\right)

Distribute parentheses

                 =x^2x+x^2\times \:3+10xx+10x\times \:3+21x+21\times \:3

                 =x^2x+3x^2+10xx+10\times \:3x+21x+21\times \:3

                 =x^3+3x^2+10x^2+30x+21x+63

Add similar elements: 3x^2+10x^2=13x^2

                 =x^3+13x^2+30x+21x+63

Add similar elements: 30x+21x=51x

                 =x^3+13x^2+51x+63

Therefore, we conclude that:

f\left(x\right)\cdot g\left(x\right)=x^3+13x^2+51x+63

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