1:
x=2,3
2:
x≈−0.60700729
Answer:
Polynomials are expressions with one or more terms with a non-zero coefficient. A polynomial can have more than one term. In the polynomial, each expression in it is called a term.
Solution given:
1:x²-5x+6
let
f(x)=x²-5x+6
It is polynomial in one variable x
According to definition of variable
f(x)=0
substituting value of f(x)
x²-5x+6=0
Doing middle term factorisation
6=3*2*1
remember that in front of constant term is positive sigh
so we need to add factor of 6 to get 5
I.e. 3+2=5
substituting (3+2) in place of 5
x²-(3+2)x+6=0
x²-3x-2x+6=0
taking common from each two term
x(x-3)-2(x-3)=0
again taking common
(x-3)(x-2)=0
either
x-3=0
x=3
or
x-2=0
x=2
2:
4x³-3x²+2
let
f(x)=4x³-3x²+2
It is polynomial in one variable x.
According to definition of variable
f(x)=0
we cannot solve it by factoring so solving by graph
Graph is in attachment.
The solution is the x-value of the point of intersection.
x≈−0.60700729
