1. The value of the polynomial P(3) obtained is 16
2. The value of the polynomial P(–3) obtained is 7
<h3>Remainder theorem</h3>
If F(x) is a polynomial and it is divided by C
to give Q and a remainder of D
Then,
Polynomial = (Quotient × divisor) + remainder
F(x) = (Q × C ) + D
Where
F(x) is the polynomial
Q is the quotient
C is the divisor
D is the remainder
<h3>1. How to determine the value of P(3)</h3>
- Divisor = x + 3
- x = 3
- Quotient [Q(x)] = 1
- Remainder = 7
- Polynomial [P(3)] =?
Polynomial = (Quotient × divisor) + remainder
P(x) = [Q(x) × (x + 3)] + 7
P(3)= [Q(3) × (x + 3)] + 7
P(3) = [1 × (3 × 3)] + 7
P(3) = 9 + 7
P(3) = 16
<h3>2. How to determine the value of P(–3)</h3>
- Divisor = x + 3
- x = –3
- Remainder = 7
- Polynomial [P(–3)] =?
Polynomial = (Quotient × divisor) + remainder
P(x) = [Q(x) × (x + 3)] + 7
P(–3)= [Q(–3) × (–3 + 3)] + 7
P(–3) = [Q(–3) × 0] + 7
P(–3) = 0 + 7
P(–3) = 7
Learn more about polynomial:
brainly.com/question/16965629
