Add the polynomial expressions 3−2p−5p2 and p4−3p+4.(1 point)
5 answers
The expression 3−2p−5p^2 + p^4−3p+4 can be simplified as p^4 - 5p^2 - 5p + 7.
im confused
I apologize for any confusion. Let me clarify the steps to add the polynomial expressions.
Given the polynomial expressions 3−2p−5p^2 and p^4−3p+4, we need to add them together.
First, we combine the like terms. The terms with the same exponent are considered "like terms."
- In the expression 3−2p−5p^2, we have a constant term 3, a linear term -2p, and a quadratic term -5p^2.
- In the expression p^4−3p+4, we have a quartic term p^4, a linear term -3p, and a constant term 4.
Next, we group the like terms together:
(3 - 2p - 5p^2) + (p^4 - 3p + 4)
This becomes:
p^4 + (-5p^2 - 2p - 3p) + (3 + 4)
Combining the coefficients of like terms:
p^4 - 5p^2 - 5p + 7
So, the sum of the polynomial expressions 3−2p−5p^2 and p^4−3p+4 is p^4 - 5p^2 - 5p + 7.
Given the polynomial expressions 3−2p−5p^2 and p^4−3p+4, we need to add them together.
First, we combine the like terms. The terms with the same exponent are considered "like terms."
- In the expression 3−2p−5p^2, we have a constant term 3, a linear term -2p, and a quadratic term -5p^2.
- In the expression p^4−3p+4, we have a quartic term p^4, a linear term -3p, and a constant term 4.
Next, we group the like terms together:
(3 - 2p - 5p^2) + (p^4 - 3p + 4)
This becomes:
p^4 + (-5p^2 - 2p - 3p) + (3 + 4)
Combining the coefficients of like terms:
p^4 - 5p^2 - 5p + 7
So, the sum of the polynomial expressions 3−2p−5p^2 and p^4−3p+4 is p^4 - 5p^2 - 5p + 7.
What is (3x2−2)+(11−5x)?(1 point)
To simplify the expression (3x^2−2)+(11−5x), we first simplify each pair of parentheses separately.
Within the first parentheses, (3x^2−2), there are no like terms to combine, so it remains the same.
Within the second parentheses, (11−5x), there are no like terms to combine, so it also remains the same.
Now, we can rewrite the simplified expression by combining the two simplified terms:
(3x^2−2)+(11−5x)
= 3x^2 - 2 + 11 - 5x
Next, combine the constant terms (-2 + 11) and the x terms (3x^2 - 5x):
= 3x^2 - 5x - 2 + 11
= 3x^2 - 5x + 9
Therefore, the simplified form of (3x^2−2)+(11−5x) is 3x^2 - 5x + 9.
Within the first parentheses, (3x^2−2), there are no like terms to combine, so it remains the same.
Within the second parentheses, (11−5x), there are no like terms to combine, so it also remains the same.
Now, we can rewrite the simplified expression by combining the two simplified terms:
(3x^2−2)+(11−5x)
= 3x^2 - 2 + 11 - 5x
Next, combine the constant terms (-2 + 11) and the x terms (3x^2 - 5x):
= 3x^2 - 5x - 2 + 11
= 3x^2 - 5x + 9
Therefore, the simplified form of (3x^2−2)+(11−5x) is 3x^2 - 5x + 9.