Question

question
type the correct answer in each box.
consider these quadratic expressions:
a. -3x² + 11x - 3
b. 11x² - x + 10
c. 4x² + 27x - 28
d. -3x² + 11x + 31

for each polynomial operation, write the letter that corresponds to the resulting expression from the list.
(5x² + 2x + 1) + (6x² - 3x + 9) is equivalent to expression
(-3x² + 6x - 12) + (5x + 9) is equivalent to expression
(8x + 16) - (3x² - 3x - 15) is equivalent to expression
(5x² + 23x - 7) - (x² - 4x + 21) is equivalent to expression

Explanation:

Step1: Calculate first operation

Combine like terms: $(5x^2+6x^2)+(2x-3x)+(1+9)=11x^2 -x +10$
Match with B.

Step2: Calculate second operation

Combine like terms: $-3x^2+(6x+5x)+(-12+9)=-3x^2 +11x -3$
Match with A.

Step3: Calculate third operation

Distribute negative sign then combine: $8x+16-3x^2+3x+15=-3x^2+(8x+3x)+(16+15)=-3x^2 +11x +31$
Match with D.

Step4: Calculate fourth operation

Distribute negative sign then combine: $5x^2+23x-7-x^2+4x-21=(5x^2-x^2)+(23x+4x)+(-7-21)=4x^2 +27x -28$
Match with C.

Answer:

B
A
D
C