If x + 2a is a factor of x⁵ – 4a²x³ + 2x + 2a + 3, find a.

Question

TextFactor Theorem for Polynomials

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Examine whether x + 2 is a factor of x³ + 3x² + 5x + 6 and of 2x + 4.

Find the value of k, if x – 1 is a factor of 4x³ + 3x² – 4x + k.

Factorise 6x² + 17x + 5 by splitting the middle term, and by using the Factor Theorem.

TextFactor Theorem for PolynomialsFactorisation by Splitting Middle Term

Determine which of the following polynomials has (x + 1) a factor:

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases:

Find the value of k, if x – 1 is a factor of p(x) in each of the following cases: