Algebra

# Combining Like Terms

What is the coefficient of $x^ {4}$ in the following polynomial:

$-6 x^ {4} + 4 x^3 + 15 x^{4} + 4 x^{15} ?$

After combining like terms, what is the sum of the coefficients of the $xy$ and $x$ terms in the polynomial $3x+7xy+25y+11x-3xy?$

After combining like terms, what is the sum of all coefficients of the polynomial $2x-(x-12y-(6x-5y))?$

For example, the polynomial $2x + 3y + 2$ has coefficients of $2, 3$ and $2$, and the sum of all coefficients is $2 + 3 + 2 = 7$.

Rewrite the following expression in the form $ax + by$, and determine the sum of $a$ and $b$: $5x-(4x+3y-(2x-y))+63y.$

Given $f(x) = 8x + 5$ and $g(x) = 5x + 12$, what is the value of the constant term in $f(x) + g(x)$?

×
The text passage contains multiple algebraic questions related to combining like terms and finding coefficients in polynomials. Each question is distinct and requires a separate calculation or reasoning process.
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Given a text passage, determine:
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TYPE: <one of the following values>
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Algebra

# Combining Like Terms

What is the coefficient of $x^ {4}$ in the following polynomial:

$-6 x^ {4} + 4 x^3 + 15 x^{4} + 4 x^{15} ?$

After combining like terms, what is the sum of the coefficients of the $xy$ and $x$ terms in the polynomial $3x+7xy+25y+11x-3xy?$

After combining like terms, what is the sum of all coefficients of the polynomial $2x-(x-12y-(6x-5y))?$

For example, the polynomial $2x + 3y + 2$ has coefficients of $2, 3$ and $2$, and the sum of all coefficients is $2 + 3 + 2 = 7$.

Rewrite the following expression in the form $ax + by$, and determine the sum of $a$ and $b$: $5x-(4x+3y-(2x-y))+63y.$

Given $f(x) = 8x + 5$ and $g(x) = 5x + 12$, what is the value of the constant term in $f(x) + g(x)$?

×
user
The text passage contains multiple algebraic questions related to combining like terms and finding coefficients in polynomials. Each question is distinct and requires a separate calculation or reasoning process.

TYPE: MULTIPLE_QUESTIONS