If 1 is a zero of the polynomial ax² − 3(a − 1)x − 1, then find the value of a.

Question

TextZeroes of a Polynomial as X-Intercepts of Graph

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Zeroes of the polynomial p(x) = x² − 3√2 x + 4 are :

Find the value of the polynomial 3x³ – 4x² + 7x –5, when x = 3 and also when x = –3.

Zeroes of a Polynomial as X-Intercepts of Graph

Check whether –2 and 2 are zeroes of the polynomial x + 2.

Find a zero of the polynomial p(x) = 2x + 1.

Verify whether 2 and 0 are zeroes of the polynomial x² – 2x.

Verify whether the following are zeroes of the polynomial, indicated against them.