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MathematicsMedium
Algebra
Polynomials

Which value of k makes x^2 + kx + 16 a perfect square?

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MathematicsMedium
Algebra
Polynomials

Simplify (x^2 - 4) / (x - 2).

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MathematicsMedium
Algebra
Polynomials

Find the HCF of 6x^2y and 9xy^2.

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MathematicsMedium
Algebra
Polynomials

What is the coefficient of x^2 in the expansion of (x+1)^3?

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MathematicsMedium
Algebra
Polynomials

Solve for x: x^2 - 4x = 0.

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MathematicsMedium
Algebra
Polynomials

Identify the remainder when x^3 + 1 is divided by x + 1.

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MathematicsMedium
Algebra
Polynomials

Factorize x^2 + 7x + 12.

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MathematicsMedium
Algebra
Polynomials

What is the value of k if x-1 is a factor of x^2 + kx - 5?

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MathematicsMedium
Algebra
Polynomials

Expand (x + 2)(x^2 - 2x + 4).

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MathematicsMedium
Algebra
Polynomials

Find the LCM of (x-1) and (x^2-1).

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MathematicsMedium
Algebra
Polynomials

Simplify (2x^2 + 4x) / 2x.

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MathematicsMedium
Algebra
Polynomials

If the roots of x^2 - px + q = 0 are 2 and 3, find p.

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MathematicsMedium
Algebra
Polynomials

Find the value of p if x = -1 is a zero of P(x) = px^2 - 2x + 3.

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MathematicsMedium
Algebra
Polynomials

What is the product of (x + a)(x + b)?

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MathematicsMedium
Algebra
Polynomials

If x^2 - 1 is a factor of x^4 + ax^3 + bx^2 + cx + d, what must be true?

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MathematicsMedium
Algebra
Polynomials

Factorize 3x^2 - 12.

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MathematicsMedium
Algebra
Polynomials

What is the degree of a polynomial with 5 terms?

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MathematicsMedium
Algebra
Polynomials

Simplify (x+1)^2 - x^2.

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MathematicsMedium
Algebra
Polynomials

If P(x) = x^2 - 5x + 4, find P(4).

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MathematicsMedium
Algebra
Polynomials

What is the remainder when x^100 - 1 is divided by x - 1?

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