Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

given ( p(x) = 2x^4 + x^3 - 3x^2 - x - 15 ). what is the value of ( p(2…

Question

given ( p(x) = 2x^4 + x^3 - 3x^2 - x - 15 ). what is the value of ( p(2) ). options: 9, 17, 25, 11

Explanation:

Step1: Substitute $x=2$ into $P(x)$

$P(2)=2(2)^4+(2)^3-3(2)^2-(2)-15$

Step2: Calculate each exponential term

$2(16)+8-3(4)-2-15$

Step3: Compute multiplication operations

$32+8-12-2-15$

Step4: Perform arithmetic from left to right

$40-12-2-15 = 9$

Answer:

9