Recent questions in Polynomial factorization

Polynomial factorization

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asked 2021-06-08

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary:
\(m^{2}-5m-14\)

Polynomial factorization

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asked 2021-06-08

Calculate the following limits
\(\lim_{x\rightarrow a}\frac{x^{3}-a^{3}}{x^{4}-a^{4}}\)

Polynomial factorization

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asked 2021-06-08

What is expanding and factorization of algebraic expressions ?

Polynomial factorization

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asked 2021-06-07

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
\(10x^{2}-160\)

Polynomial factorization

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asked 2021-06-07

Factor each polynomial by grouping.
\(p^{2}q^{2}-10-2q^{2}+5p^{2}\)

Polynomial factorization

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asked 2021-06-06

Using givens rotation during QU factorization of the matrix A below, Make element (3,1) in A zero.
\([A]=\begin{bmatrix}3 & 4 & 5 \\1 & 7 & 8 \\ 2 & 6 & 9\end{bmatrix}\)

Polynomial factorization

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asked 2021-06-04

Factor the terms in each set, then identify the greatest common factor.
a) \(6, 15n\)
b) \(4m, m^{2}\)

Polynomial factorization

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asked 2021-06-04

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
\(s^{2}-10st+25t\)

Polynomial factorization

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asked 2021-06-04

Find the value of p from the polynomial \(x^{2}+3x+p\) if one of the zeroes of the polynomial is 2

Polynomial factorization

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asked 2021-06-04

Factorise the following expressions:
\(6y^{2}-5y=\)?
\(9a^{3}-3a^{2}=\)?
\(x^{2}+xy+3xz=\)?

Polynomial factorization

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asked 2021-06-04

Determine whether \(F(x)=5x^{4}-\pi x^{3}+\frac{1}{2}\) is a polynomial. If it is, state its degree. If not, say why it is not a polynomial. If it is a polynomial, write it in standard form. Identify the leading term and the constant term.

Polynomial factorization

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asked 2021-06-04

Find the NORMALIZED Gaussian factorization of 666. Also, find the number of ways 666 can be written as a sum of 2 integer squares.

Polynomial factorization

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asked 2021-06-04

Solve the system Ax = b using the given LU factorization of A

\(A=\begin{bmatrix}4 & -2 \\2 & 3 \end{bmatrix}=\begin{bmatrix}1 & 0 \\\frac{1}{2} & 1 \end{bmatrix}\begin{bmatrix}4 & -2 \\0 & 4 \end{bmatrix}, b=\begin{bmatrix}0 \\8 \end{bmatrix}\)

Polynomial factorization

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asked 2021-06-04

Give the prime factorization of the number. Use exponential form.
7875

Polynomial factorization

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asked 2021-06-04

Find the HCF of 72 and 48 using the prime factorization method

Polynomial factorization

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asked 2021-06-03

Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term.
\(g(x)=3-\frac{x^{2}}{4}\)

Polynomial factorization

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asked 2021-06-03

Find the complete factorization of \(P(x)= x^{4} - 2x^{3} + 5x^{2} - 8x + 4\).

Polynomial factorization

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asked 2021-06-02

Solve by factorization.
\(x^{2}+13x=30\)

Polynomial factorization

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asked 2021-06-02

Use the unique factorization theorem to write the following integers in standard factored form.
5733

Polynomial factorization

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asked 2021-05-31

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Recent questions in Polynomial factorization

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary:
\(m^{2}-5m-14\)

Calculate the following limits
\(\lim_{x\rightarrow a}\frac{x^{3}-a^{3}}{x^{4}-a^{4}}\)

What is expanding and factorization of algebraic expressions ?

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
\(10x^{2}-160\)

Factor each polynomial by grouping.
\(p^{2}q^{2}-10-2q^{2}+5p^{2}\)

Using givens rotation during QU factorization of the matrix A below, Make element (3,1) in A zero.
\([A]=\begin{bmatrix}3 & 4 & 5 \\1 & 7 & 8 \\ 2 & 6 & 9\end{bmatrix}\)

Factor the terms in each set, then identify the greatest common factor.
a) \(6, 15n\)
b) \(4m, m^{2}\)

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
\(s^{2}-10st+25t\)

Find the value of p from the polynomial \(x^{2}+3x+p\) if one of the zeroes of the polynomial is 2

Factorise the following expressions:
\(6y^{2}-5y=\)?
\(9a^{3}-3a^{2}=\)?
\(x^{2}+xy+3xz=\)?

Determine whether \(F(x)=5x^{4}-\pi x^{3}+\frac{1}{2}\) is a polynomial. If it is, state its degree. If not, say why it is not a polynomial. If it is a polynomial, write it in standard form. Identify the leading term and the constant term.

Find the NORMALIZED Gaussian factorization of 666. Also, find the number of ways 666 can be written as a sum of 2 integer squares.

Solve the system Ax = b using the given LU factorization of A

\(A=\begin{bmatrix}4 & -2 \\2 & 3 \end{bmatrix}=\begin{bmatrix}1 & 0 \\\frac{1}{2} & 1 \end{bmatrix}\begin{bmatrix}4 & -2 \\0 & 4 \end{bmatrix}, b=\begin{bmatrix}0 \\8 \end{bmatrix}\)

Give the prime factorization of the number. Use exponential form.
7875

Find the HCF of 72 and 48 using the prime factorization method

Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term.
\(g(x)=3-\frac{x^{2}}{4}\)

Find the complete factorization of \(P(x)= x^{4} - 2x^{3} + 5x^{2} - 8x + 4\).

Solve by factorization.
\(x^{2}+13x=30\)

Use the unique factorization theorem to write the following integers in standard factored form.
5733

Factor each composite number into a product of prime numbers. for example, \(18=2\times 3\times 3\).
135

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Recent questions in Polynomial factorization