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-BARSIC- [3]
3 years ago
8

Evaluate the polynomial when x = 3 and y = - 8x2 + y2 + xy​

Mathematics
2 answers:
zalisa [80]3 years ago
8 0

Answer:

49

Step-by-step explanation:

We are given the polynomial:

x^2+y^2+xy

We want to evaluate when x=3 and y= -8. Therefore, we must substitute 3 for each x and -8 for each y.

(3)^2+(-8)^2+(3*-8)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Solve the parentheses first. Multiply 3 and -9.

3*-8=-24

(3)^2+(-8)^2 + -24

(3)^2+(-8)^2-24

Now, solve the exponents.

3^2= 3*3 =9

9+ (-8)^2 -24

-8^2= -8*-8= 64

9+64-24

Add 9 and 64

73-24

Subtract 24 from 73

49

The polynomial evaluated for x=3 and y= -8 is 49.

Ivahew [28]3 years ago
5 0
<h3>Answer: 49</h3>

Work Shown:

Replace x with 3, replace y with -8. Use order of operations PEMDAS to simplify.

x^2 + y^2 + x*y

3^2 + (-8)^2 + 3*(-8)

9 + 64 - 24

73 - 24

49

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