(a) Define the zero of a polynomial in one variable. (b) For a linear polynomial ,…

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

(a) Define the zero of a polynomial in one variable. (b) For a linear polynomial

y=ax+b\,(a\ne0)

, explain with reasons why its graph meets the

x

–axis exactly once. (c) A student states that the

x

–intercept of the graph of

y=5x+7

\bigl(-\tfrac{5}{7},0\bigr)

. Identify the error in this statement and write the correct

x

–intercept, giving justification.