1)The maximum number of zeroes that a polynomial of degree 4 can have is
four
Class 10 Maths2)The graph of linear polynomial p(x)=3x−6 intersects the x−axis at________
2,0
Class 10 Maths3)The graph of the polynomial ax² + bx + c is an upward parabola if
a > 0
Class 10 Maths4)A polynomial of degree 3 is called
a cubic polynomial
Class 10 Maths5)If α, β are the zeroes of the polynomial x² – 16, then αβ(α + β) is
0
Class 10 Maths6)Zeroes of the polynomial x² – 11 are
±
Class 10 Maths7)If all three zeroes of a cubic polynomial \(x^3+ax^2+bx+c\) are positive, then which of the following is correct about a,b and c?
b must be positive
Class 10 Maths8)Ratio of the sum of the roots of \(x^2−9x+18=0\) to the product of the roots is:
1:2
We know that equation \(ax^2+bx+c=0\)
Then sum of roots =\({ -b \over a }\) and product of roots= \(c\over a\)
Given equation is \(x^2−9x+19=0\)
Sum of roots =9
Product of the roots =18
Therefore, the ratio of sum of roots to the product of roots is 9:18 i,e., 1:2.
Class 10 Maths9)The number of polynomials having zeroes as 4 and 7 is
more than 4