Question

combine like terms: (3a^4 - 2a + 3a + a^4)

• (4a^4 + a)
• (4a^4 + a^2)
• (4a^{16} + a^2)
• can not combine

question 5

add the following polynomials: ((3x^2 + 7x - 4) + (2x^2 - 2x + 9))

• (5x^2 + 9x + 5)
• (5x^4 + 5x^2 + 5)
• (5x^2 + 5x + 13)
• (5x^2 + 5x + 5)

Explanation:

Group like terms for the first expression

$$ (3a^4 + a^4) + (-2a + 3a) $$

Simplify the grouped terms

$$ 4a^4 + a $$

Group like terms for the second expression

$$ (3x^2 + 2x^2) + (7x - 2x) + (-4 + 9) $$

Simplify the polynomial sum

$$ 5x^2 + 5x + 5 $$

Answer:

Question 1

• (A) \(4a^4 + a\) (Correct answer)
• (B) \(4a^4 + a^2\)
• (C) \(4a^{16} + a^2\)
• (D) Can not combine

Question 2

• (A) \(5x^2 + 9x + 5\)
• (B) \(5x^4 + 5x^2 + 5\)
• (C) \(5x^2 + 5x + 13\)
• (D) \(5x^2 + 5x + 5\) (Correct answer)