Question

a²-10a+21



resolve it into factors​

Answer 1

Answer:

(a-7)(a-3)

Step-by-step explanation:

a²-10a+21= a²-7a-3a+21

=a(a-7)-3(a-7)

=(a-7)(a-3)

Answer 2

Simplifying
a2 + 10a + 21 = 0

Reorder the terms:
21 + 10a + a2 = 0

Solving
21 + 10a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(7 + a)(3 + a) = 0

Subproblem 1
Set the factor '(7 + a)' equal to zero and attempt to solve:

Simplifying
7 + a = 0

Solving
7 + a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + a = 0 + -7
a = 0 + -7

Combine like terms: 0 + -7 = -7
a = -7

Simplifying
a = -7
Subproblem 2
Set the factor '(3 + a)' equal to zero and attempt to solve:

Simplifying
3 + a = 0

Solving
3 + a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + a = 0 + -3
a = 0 + -3

Combine like terms: 0 + -3 = -3
a = -3

Simplifying
a = -3
Solution
a = {-7, -3}


Please mark it as brainliest