@ Draw the Graph of linear polynomial y = 2x+3 and
Express the Geometrical meaning of the zero
Answers
Answer:
In the study of polynomials, you are aware that a real number ‘k’ is a zero of the polynomial p(x) if p(k) = 0. Remember, zero of a polynomial is different from a zero polynomial. We have seen the Remainder theorem use the concept of zeroes of a polynomial too. In order to understand their importance, we will look at the geometrical representations of linear and quadratic polynomials and the geometrical meaning of their zeroes
EXPLANATION.
Equation ⇒ y = 2x + 3.
Put x = 0 in equation, we get.
⇒ y = 2(0) + 3.
⇒ y = 3.
Their Co-ordinate = (0,3).
Put y = 0 in equation, we get.
⇒ 0 = 2x + 3.
⇒ 2x = -3.
⇒ x = -3/2.
⇒ x = -1.5.
Their Co-ordinates = (-1.5,0).
Geometric meaning of the zeroes.
The zeroes of the polynomial is the x-coordinates of the point, where the graph intersect the x-axis. if a polynomial p(x) intersects the x-axis at (k,0), then k is the zeroes of the polynomial.
