Q3 of 90 Page 2

The graphs of y = p(x) are given in the figures below, where p(x) is a polynomial Find the number of zeroes in each case.

(i) (ii)


(iii) (iv)


(v) (vi)

(i) Here, the graph of y = p(x) intersect the x – axis at zero points. So, the number of zeroes is 0.


(ii) Here, the graph of y = p(x) intersects the x – axis at two points. So, the number of zeroes is 2.


(iii) Here, the graph of y = p(x) intersects the x – axis at four points. So, the number of zeroes is 4.


(iv) Here, the graph of y = p(x) does not intersects the x – axis. So, the number of zeroes is 0.


(v) Here, the graph of y = p(x) intersects the x – axis at two points. So, the number of zeroes is 2.


(vi) Here, the graph of y = p(x) intersects the x – axis at two points. So, the number of zeroes is 2.


More from this chapter

All 90 →
1

Examine, seeing the graph of the polynomials given below, whether they are a linear or quadratic polynomial or neither linear nor quadratic polynomial:

(i) (ii)


(iii) (iv)


(v) (vi)


(vii) (viii)

2

The graphs of y – p(x) are given in the figures below, where p(x) is a polynomial. Find the number of zeros in each case.

(i) (ii)


(iii) (iv)


(v) (vi)

 1

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients:

x2 – 3

 1

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients:

2x2 – 8x + 6