Question

What is alpha and beta ? What is its used in polynomial chapter of class 10th?

Answer 1

They are the zeros of the polynomial
In polynomial they are used in different question
they have some formulas like alpha + beta = -b/a and alpha × beta = c/a ( where a,b,c are the coefficients of polynomial)
they are also known as the roots of the equation
where alpha = -b + rootD / 2a
and beta = -b - root D / 2a (where D = b^2 - 4ac)
Hope this helps
Please mark this brainliest answer

Answer 2

• Zeroes of a polynomial. k is said to be zero of a polynomial p(x) if p(k) = 0

• Graph of polynomial.

(i) Graph of a linear polynomial ax + b is a straight line.

(ii) Graph of a quadratic polynomial p(x) = ax2 + bx + c is a parabola open upwards like ∪, if a > 0.

(iii) Graph of a quadratic polynomial p(x) = ax2 + bx + c is a parabola open downwards like ∩, if a > 0.

(iv) In general a polynomial p(x) of degree n crosses the x-axis at atmost n points.

• Relationship between the zeroes and the coefficients of a Polynomial.

(i) If α, β are zeroes / roots of p(x) = ax2 + bx + c, then

(ii) If α, β and γ are zeroes / roots of p(x) = ax3 + bx2 + cx + d