Polynomial class 10

If p(x) is a polynomial of at least degree one and p(k) = 0, then k is known as

• (a) value of p(x)

• (b) zero of p(x)

• (c) constant term of p(x)

• (d) none of these

Which of the following is not the graph of a quadratic polynomial?

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If graph of a polynomial does not intersects the x-axis but intersects y-axis in one point, then no. of zeroes of the polynomial is equal to

• (a) 0

• (b) 1

• (c) 0 or 1

• (d) none of these

A polynomial of degree n has

• (a) only 1 zero

• (b) at least n zeroes

• (c) atmost n zeroes

• (d) more than n zeroes

The graph of y = f(x) is given below. How many zeroes are there of f(x)?

The graph of y = f(x) is given, how many zeroes are there of f(x)?

The graph of y = f(x) is given below, for some polynomial f(x). Find the number of zeroes of f(x).

The graph of x = p(y) is given below, for some polynomial p(y). Find the number of zeroes of p(y).

 $If\ \alpha\ and\ \beta\$  are the zeroes of the quadratic polynomial  $ax^2+bx+c,$  where a, b and c are the coefficients,  $a\ne0$  , then the sum of the zeroes are

•  $\frac{b}{a}$  

•  $\frac{a}{b}$  

•  $\frac{-b}{a}$  

•  $\frac{c}{a}$  

 $If\ p\left(x\right)\ =\ 2x^2-8x+6$  , then the product of the zeroes are

• 6

• -3

• 3

• 2