Answered

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 Shauna solve the polynomial equations given in the table determine whether each polynomial is correct select correct or incorrect for each equation

Shauna Solve The Polynomial Equations Given In The Table Determine Whether Each Polynomial Is Correct Select Correct Or Incorrect For Each Equation class=

Sagot :

Answer:

correct / incorrect / incorrect

Step-by-step explanation:

5a - 8 + 2a² + 2a - 1 ← collect like terms

= 2a² + 7a - 9 ← correct

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b² + 6b - 4 - (3b + b²) ← distribute parenthesis by - 1

= b² + 6b - 4 - 3b - b² ← collect like terms

= 3b - 4 ≠ 2b² + 3b - 4

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9c - 4c² - (2c² + c) ← distribute parenthesis by - 1

= 9c - 4c² - 2c² - c ← collect like terms

= - 6c² + 8c ≠ - 6c² + 10c

semsee45

Answer:

correct

incorrect

incorrect

Step-by-step explanation:

[tex]\begin{aligned}(5a-8)+(2a^2+2a-1)&=5a-8+2a^2+2a-1\\& = 2a^2+5a+2a-8-1\\ & = 2a^2+7a-9\end{aligned}[/tex]

[tex]\implies (5a-8)+(2a^2+2a-1)=2a^2+7a-9\quad\textsf{is correct}[/tex]

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[tex]\begin{aligned}(b^2+6b-4)-(3b+b^2) &=b^2+6b-4-3b-b^2\\ & = b^2-b^2+6b-3b-4\\& = 3b-4\end{aligned}[/tex]

[tex]\implies (b^2+6b-4)-(3b+b^2)=2b^2+3b-4\quad\textsf{is incorrect}[/tex]

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[tex]\begin{aligned}(9c-4c^2)-(2c^2+c) &=9c-4c^2-2c^2-c\\ & = -4c^2-2c^2+9c-c\\& = -6c^2+8c\end{aligned}[/tex]

[tex]\implies (9c-4c^2)-(2c^2+c)=-6c^2+10c\quad\textsf{is incorrect}[/tex]

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