While studying graphs, a student plots the polynomial y = p(x) and observes that the curve cuts the x-axis at x = −2 and x = 5.

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Zeroes of a Polynomial as X-Intercepts of Graph, Formation of Quadratic Polynomial from Given Zeroes | PadhAiPro

Question

CASE_STUDIESZeroes of a Polynomial as X-Intercepts of GraphFormation of Quadratic Polynomial from Given Zeroes3 sub-questions

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

The quadratic equation whose roots are 7 and 1/7 is :

Formation of Quadratic Polynomial from Given Zeroes

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

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.