Polynomials-Target+B-Polynomial+Operations-Practice+Problems

** For the following problems, state if the expression is a monomial. If it is state the degree, if the expression is not a polynomial then state why not **.
math \textbf{1)} \ 13 math

math \textbf{2)} \ 5y math

math \textbf{3)} \ y+4 math

math \textbf{4)} \ \dfrac{1}{3}xy^2 math

math \textbf{5)} \ \dfrac{3}{p} math

math \textbf{6)} \ \text{-}1.2c^8 math

math \textbf{7)} \ 10^x math

math \textbf{8)} \ xy^{\text{-}3} math

media type="custom" key="27696611"

math \textbf{9)} \ 101 math
 * Given the following expressions, state whether each of them is a polynomial or not. If an expression is a polynomial, classify it by its number of terms, state the degree of the polynomial, leading coefficient and constant. If it is not a polynomial then state why not.**

math \textbf{10)} \ \text{-}3x^2+x-3 math

math \textbf{11)} \ 3x^2-4^x math

math \textbf{12)} \ \text{-}2p^{\text{-}2}-2 math

math \textbf{13)} \ 7xy^2+4x^3y math

media type="custom" key="27696617"

math \textbf{14)} \ (3x^3-4x^2+x)+(4x^2+x+2) math
 * Add or subtract the polynomial expressions.**

math \textbf{15)} \ (\text{-}5x^2-8x+2)+(2x^2+\dfrac{1}{2}x-10) math

math \textbf{16)} \ (2xy^2+5x^2y)+(3xy^2-x^2y+z) math

math \textbf{17)} \ (4n^2+5)-(\text{-}2n^2+2n-4) math

math \textbf{18)} \ (10x^2-8x-5)-(3x^2-x+8) math

math \textbf{19)} \ (10pq^3-2p^2q)-(2pq^3-4p^2q) math

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math \textbf{20)} \ 2x^2(4x^3-x^2+4x-3) math
 * Determine the product of the polynomials.**

math \textbf{21)} \ \text{-}3x(\text{-}x^4+x^3+2x^2+6) math

math \textbf{22)} \ (3x-4)(x+3) math

math \textbf{23)} \ (x+6)(3x-1) math

math \textbf{24)} \ (\text{-}2a+6)(a^3+3a-2) math

math \textbf{25)} \ (3x^2-3x+2)(2x-1) math

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math f(x)=2x-1 \\ g(x)=x-4 \\ h(x)=\text{-}x+1 \\ k(x)=2x^2 \\ math math \textbf{26)} \ f(x) \cdot h(x) math
 * Perform operations using the following polynomial functions.**

math \textbf{27)} \ k(x) + g(x) \cdot f(x) math

math \textbf{28)} \ g(x) \cdot g(x) - k(x) math

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math \textbf{29)} \ (x+7)^2 math
 * Determine the product of the polynomials.**

math \textbf{30)} \ (x-4)^2 math

math \textbf{31)} \ (2x+1)^2 math

math \textbf{32)} \ (3x-2)^2 math

math \textbf{33)} \ (t+2)(t-2) math

math \textbf{34)} \ (p-4)(p+4) math

math \textbf{35)} \ (2q-1)(2q+1) math

math \textbf{36)} \ (2x+y)^2 math

math \textbf{37)} \ (4k-5r)(4k+5r) math

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math f(x)=2x+3 \\ g(x)=2x-3 \\ p(x)=x+1 math
 * Perform operations using the following polynomial functions.**

math \textbf{38)} \ \Bigg[f(x)\Bigg]^2 math

math \textbf{39)} \ \Bigg[g(x)\Bigg]^2 math

math \textbf{40)} \ f(x) \cdot g(x) math

math \textbf{41)} \ \Bigg[2 \cdot f(x) \Bigg] \Bigg[g(x)\Bigg] math

math \textbf{42)} \ \Bigg[g(x)\Bigg] \Bigg[x \cdot p(x) \Bigg] math

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 * Error Analysis: Describe the students mistake and make the needed correction(s).**

math \textbf{43)} \ (t-3)^2=t^2-9 math

math \textbf{44)} \ (2x-5)^2=4x^2-10x+25 math

math \textbf{45)} \ (2x-3)(2x+3)=4x^2-12x-9 math

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__ TARGET REVIEW __

46) Find f(3) for the function: y = -x 2 + 2x - 4.

math \ \\ \textbf{47) Graph the line.}\ y=\dfrac{-2}{3}x+2\\ \ \\ math

48) Write the following equation in slope intercept form: 2x - y = 8.