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1.Find the product $(x - 3)(2x^2 + 5x - 7).$

 

 

2.Find the constant term in the product \[(-3z^2 - 7z + 4)(6z^2 - z + 6).\]

 

 

3.Find the coefficient of $z$ in the product\[(-3z^2 - 7z + 4)(6z^2 - z + 6).\]

 

 

4.Let $f(x) = x^3 + 3x ^2 + 4x - 7$ and $g(x) = -7x^4 + 5x^3 +x^2 - 7$. What is the coefficient of $x^3$ in the sum $f(x) + g(x)$?

 

 

5.Let $f(x) = x^4-3x^2 + 2$ and $g(x) = 2x^4 - 6x^2 + 2x -1$. Let $a$ be a constant. What is the largest possible degree of $f(x) + a\cdot g(x)$?

 

 

6.Let $f(x) = x^4-3x^2 + 2$ and $g(x) = 2x^4 - 6x^2 + 2x -1$. Let $b$ be a constant. What is the smallest possible degree of the polynomial $f(x) + b\cdot g(x)$



7.The degree of the polynomial $p(x)$ is 11, and the degree of the polynomial $q(x)$ is 7. Find all possible degrees of the polynomial $p(x) + q(x).$

 

 

8.Suppose $f$ is a polynomial such that $f(0) = 47$, $f(1) = 32$, $f(2) = -13$, and $f(3)=16$. What is the sum of the coefficients of $f$?

 

 

if you could answer them soon then thank you

 Feb 21, 2021
 #1
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1. The product is 2x^3 - 3x^2 - 25x + 21.

 

2. The constant term is 26.

 

3. The coefficient of z is -42.

 Feb 21, 2021
 #2
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None of those answers were correct

Guest Feb 21, 2021

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