Polynomials Class 10
In this topic we are going to be looking at the key concepts of
polynomials and we 'll be solving some important questions on this topic.
I'm going to show you the tips and tricks on how to solve the sums.. there
's this important relation between the roots and the coefficients of the
quadratic polynomial.. The product of the zeros is alpha beta is equal to c
by a so these coefficients and the product of these coefficients. the zeros
of the polynomic alpha beta. Then we can write the quadriatic poynomial
as x square alpha plus beta into x plus alpha beta. the result is x square
minus some of the roots times x times x. Plus the product. alpha plus
beta equals minus b by a right. The sum of the roots of the sum. The
zeros of the root is going to be eight. Very root three okay, so what is the
coefficient C. It's basically four root three right and is root 3. Root 3
cancels and the product of the zeros is four okay, so do we have the
correct answer..
We need to find a and b so how do we solve This remember the concept
If these are the roots or the zeros that means these values. If we
substitute it in our polynomial ax squared plus 7x plus B is going to be 0,
which means it 's going to satisfy this equation Here. So let's write down
our equation. polynomial fx is 2 x cube plus x square minus 6 x minus 3
okay and since we want to find the zeros of the polynomnancy we are
going to equate it as 0 right now we 've been given that we have these
two zeros root 3 and minus root 3. So can we say that these are factors
of Fx right. q is going to be 3 okay so that 's our answer here' and ps and
what will q be very simple Q is 3. Okay. to the power 4 so just write it
down plus 2 x cubed plus 8x squared plus 8x squared plus 12x plus 18
and so you need to sit and do this division right. It 's simple algebra..
If the product of the zeros of the polynomial ax squared minus 6x minus
6 is 4. Find the value of a now.
In this topic we are going to be looking at the key concepts of
polynomials and we 'll be solving some important questions on this topic.
I'm going to show you the tips and tricks on how to solve the sums.. there
's this important relation between the roots and the coefficients of the
quadratic polynomial.. The product of the zeros is alpha beta is equal to c
by a so these coefficients and the product of these coefficients. the zeros
of the polynomic alpha beta. Then we can write the quadriatic poynomial
as x square alpha plus beta into x plus alpha beta. the result is x square
minus some of the roots times x times x. Plus the product. alpha plus
beta equals minus b by a right. The sum of the roots of the sum. The
zeros of the root is going to be eight. Very root three okay, so what is the
coefficient C. It's basically four root three right and is root 3. Root 3
cancels and the product of the zeros is four okay, so do we have the
correct answer..
We need to find a and b so how do we solve This remember the concept
If these are the roots or the zeros that means these values. If we
substitute it in our polynomial ax squared plus 7x plus B is going to be 0,
which means it 's going to satisfy this equation Here. So let's write down
our equation. polynomial fx is 2 x cube plus x square minus 6 x minus 3
okay and since we want to find the zeros of the polynomnancy we are
going to equate it as 0 right now we 've been given that we have these
two zeros root 3 and minus root 3. So can we say that these are factors
of Fx right. q is going to be 3 okay so that 's our answer here' and ps and
what will q be very simple Q is 3. Okay. to the power 4 so just write it
down plus 2 x cubed plus 8x squared plus 8x squared plus 12x plus 18
and so you need to sit and do this division right. It 's simple algebra..
If the product of the zeros of the polynomial ax squared minus 6x minus
6 is 4. Find the value of a now.
