The remAinderby when 2x3+5x2-6x+2 is divided by (x+2)
Answers
Answer:
2×3+5×2-6x+2 is divided by (x+2)
16-6x+2 is divided by (x+2)
-6x+18 is divided by (x+2)
here your answer is, remainder=30
mark me brainleist
Step-by-step explanation:
mark me brainleist and give me thanks❤
Answer:
When 2x³ + 5x² – 6x + 2 is divided by (x + 2) the remainder is 16.
Step-by-step explanation:
Given polynomial = 2x³ + 5x² – 6x + 2
It is divided by = (x + 2)
Using remainder theorem,
\longrightarrow⟶ g(x) = x + 2
\longrightarrow⟶ x + 2 = 0
\longrightarrow⟶ x = –2
Put value of x in the polynomial,
\longrightarrow⟶ p(x) = 2x³ + 5x² – 6x + 2
\longrightarrow⟶ p(–2) = 2(–2)³ + 5(–2)² – 6(–2) + 2
\longrightarrow⟶ p(–2) = 2(–8) + 5(4) + 12 + 2
\longrightarrow⟶ p(–2) = –18 + 20 + 14
\longrightarrow⟶ p(–2) = 2 + 14
\longrightarrow⟶ p(–2) = 16
Remainder is 16
Therefore, when 2x³ + 5x² – 6x + 2 is divided by (x + 2) the remainder is 16.