Question

If x-2 is a factor of the polynomial given below, and if a+b =1, find a and b

xsquare + ax + b

Answer 1

Step-by-step explanation:

Given −3 is the zero of the polynomial (k−1)x

2

+kx+1

So −3 must satisfy the equation (k−1)x

2

+kx+1=0

⟹(k−1)(−3)

2

+k(−3)+1=0

⟹9(k−1)−3k+1=0

⟹9k−9−3k+1=0

⟹6k=8

⟹k=

3

4

Answer 2

Answer:

given

Factor x= 2

Step-by-step explanation:

put the value in equation:

p(2)=(2) ^2+a(2) +b

=4+2a+b -------------1

solve eqn 1 by substitution method

2a=4+b

a=4+b/2 -------------2

put eqn 2 in eqn 1

=4+2(4+b/2) +b

=4+4+b+b

=8+2b

2b=8

b=8-2

b=6 ---------------3

put eqn 3 in eqn 2

a=4+6/2

a=10/2

a=5

therefore, a=5

b=6