Question

1) The zeroes of the polynomial whose graph is given are:

4,7
−4, 7
4, 3
−7, 10

2) What will be the expression of the given polynomial p(x)?

3) Product of the zeroes of the polynomial which represents the parabola is:

-28
-70
28
30

4) In the standard form of quadratic polynomial, ax + bx+c, a, b, and c are

All are real numbers
All are rational numbers
a is a non zero real number, b and c are any real numbers
All are integers

5) If the sum of the roots is -p and product of the roots is , then the quadratic polynomial is?


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Answer 1

1) -7,10 ,2) p(x)=$x^{2} -3x-70$ 3) -70 ,4)a is a non zero real number, b and c are any real numbers ,5) 3 and -70 and $x^{2} -3x-70$

Step-by-step explanation:

1) -7,10

the zeroes of the polynomial is when the graph cut the x-axis and in this question the graph cut the x-axis at -7 and 10.

2) If the Sum of zeroes and Product of the zeroes of a quadratic polynomial is given then the quadratic polynomial is

$x^{2} -$(Sum of the zero)x $+$ (product of the zero)

From the given figure we see that the curve cuts x axis at the point ( - 7,0) & (10,0)

Sum of the zeroes= $-7+10$

                               = $3$

Product of the zeroes=$-7$×$10$

                                     =$-70$

the quadratic polynomial is $x^{2} -3x-70$

3) Product of the zeroes of the polynomial which represents the parabola is:-70

4) In the standard form of quadratic polynomial, ax + bx+c, a, b, and c are a is a non zero real number, b and c are any real numbers

5) the sum of the roots is = $\frac{-b}{a}$

                                           = 3

product of the roots is= $\frac{c}{a}$

                                    = -70

the quadratic polynomial is $x^{2} -3x-70$.