find the sum of P (x) = 3 X²+ 4 x- 3 x ³ + 1 and q (x)= X ² + 3 X + 1
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Answer:
P (x) + q (x)= (3 x²+ 4 x- 3 x ³ + 1) + ( x ² + 3 x + 1) =- 3 x ³ + 4 x ²+ 7 x + 2
Step-by-step explanation:
Find the sum of P (x) = 3x²+ 4 x- 3 x ³ + 1 and q (x)= Xx² + 3 X + 1
P (x) + q (x)= (3 x²+ 4 x- 3 x ³ + 1) + ( x ² + 3 x + 1)
Remove bracket
= 3 x²+ 4 x- 3 x ³ + 1 + x ² + 3 x + 1
Rearrange similar terms
= - 3 x ³ + 3 x²+ x ²+ 4 x + 3 x + 1 + 1
=- 3 x ³ + (3 +1) x ²+ (4 + 3) x + (1 + 1)
=- 3 x ³ + 4 x ²+ 7 x + 2
So, P (x) + q (x)=- 3 x ³ + 4 x ²+ 7 x + 2
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