Questions

• More About Polynomials Perform division of polynomials Understand the factor theorem

  設 $k$ 為一常數，使得 $2x^{4}+kx^{3}-4x-16$ 可以被 $2x+k$ 整除。求 $k$。

  2019

• More About Polynomials Perform addition, subtraction, multiplication, and division of rational functions

  $\frac{5}{4k+3}-\frac{2}{4k-3}=$

  2020

• More About Polynomials Perform division of polynomials Understand the factor theorem

  $(3a+2b)(4a-5b)-a(6a+4b)=$

  2020

• More About Polynomials Understand the factor theorem Perform division of polynomials

  設 $g(x)=a x^{3}+4 a x^{2}-24$，其中 $a$ 為一常數。若 $x+2$ 為 $g(x)$ 的因式，則 $g(2)=$？

  2020

• More About Polynomials Perform division of polynomials Understand the factor theorem

  $(u+v)(u-v)(u-1)=$

  2021

• More About Polynomials Perform division of polynomials Understand the remainder theorem

  設 $\mathrm{p}(x)$ 為一多項式。當 $\mathrm{p}(x)$ 除以 $x+1$ 時，餘數為 -2。若 $\mathrm{p}(x)$ 可被 $x-1$ 整除，求當 $\mathrm{p}(x)$ 除以 $x^{2}-1$ 時的餘式。

  2021

• More About Polynomials Understand the concepts of the greatest common divisor and the least common multiple of polynomials

  三個數式的 H.C.F. 及 L.C.M. 分別為 $x^{2} y^{2} z$ 及 $x^{3} y^{4} z^{5}$ 。若第一個數式及第二個數式分別為 $x^{3} y^{2} z^{2}$ 及 $x^{3} y^{3} z^{5}$, 則第三個數式為

  2021

• More About Polynomials Perform division of polynomials Understand the factor theorem

  $\alpha^{2}-\alpha-\beta^{2}+\beta=$

  2022

• More About Polynomials Understand the remainder theorem Understand the factor theorem

  設 $\mathrm{g}(x)=x^{2}+ax+b$，其中 $a$ 及 $b$ 均為常數。若 $\mathrm{g}(x)$ 可被 $x+2a$ 整除，求當 $\mathrm{g}(x)$ 除以 $x-2a$ 時的餘數。

  2022

• More About Polynomials Perform division of polynomials Understand the factor theorem

  $(2m-n)(1-m)(n+2m)=$

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