Using factor theorem, factorize the polynomial: x⁴ – 7x³ + 9x² + 7x – 10

Question

TextFactor Theorem for PolynomialsFactorisation Using Factor Theorem

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

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.

TextFactor Theorem for Polynomials

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

Factorise y² – 5y + 6 by using the Factor Theorem.

Factorise x³ – 23x² + 142x – 120.