Question

algebra 1
test- \polynomials\
name:
show your work

1. write the polynomial $-7 + 52x^4 + 17x^5 - 13x$ in descending order of the exponents.

$17x^5 + 52x^4 - 13x - 7$

1. evaluate $4a^3 + a^2 - 9a - 2$ when $a = 3$

$4a^3 + 3^2 - 9a - 2$

Explanation:

Step1: Reorder by descending exponents

Identify exponents: $17x^5$ (5), $52x^4$ (4), $-13x$ (1), $-7$ (0). Rearrange:
$17x^5 + 52x^4 - 13x - 7$

Step2: Substitute $a=3$ into polynomial

Replace $a$ with 3 in $4a^3 + a^2 - 9a - 2$:
$4(3)^3 + (3)^2 - 9(3) - 2$

Step3: Calculate each term

Compute powers and products:
$4(27) + 9 - 27 - 2$

Step4: Simplify the expression

Perform arithmetic operations:
$108 + 9 - 27 - 2$

Answer:

1. $17x^5 + 52x^4 - 13x - 7$
2. $88$