Question

iv)/
v
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vi)
vi
Are the following statements 'True' or 'False"? Justify your answers.
i) If the zeroes of a quadratic polynomial ax? + bx + c are both positive, then a, b and call
have the same sign.
ii) If the graph of a polynomial intersects the x-axis at only one point, it cannot be a qua-
dratic polynomial.
iii) If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a
quadratic polynomial.
iv) If two of the zeroes of a cubic polynomial are zero, then it does not have linear and
constant terms.
1) Find the zeroes of the quadratic polynomial V3x2 +8x+413
1) Find the zeroes of the polynomial 413x2 + 5x-213
fil) Find the zeroes of the polynomial 100x2 – 81.
a) For what value of k, (-4) is a zero of the polynomial x? – X-(2k + 2)?
i) If 1 is a zero of the polynomial p(x) = ax2 - 3(a – 1)x-1, then find the value of a.
Show that x2 + 4x +5 has no zeroes
Show that 1, -1 and 3 are the zeroes of the polynomial x3 – 3x2 - X+3.
1) Find the zeroes of the polynomial 2x2 - 7x + 3 and hence find the sum of product of its​

Answer 1

Answer:

1) 2x^2-7x+3

2x^2-(6+1) x+3=0

2x^2-6x-x+3=0

2x (x-3)-1 (x-3)=0

(x-3)(2x-1)=0

Answer ×=3,×=1/2