Find product of (3x+4) and ( 2x+3 ) and its value , if x=3. (2m) *
143
134
144
None
Answers
Answer:
D] None
Step-by-step explanation:
Here we need to find the product of (3x + 4) and (2x + 3).
(3x + 4) (2x + 3)
= 3x(2x + 3) + 4(2x + 3)
= 3x(2x) + 3x(3) + 4(2x) + 4(3)
= 6x² + 9x + 8x + 12
= 6x² + 17x + 12
∴ The product of (3x + 4) and (2x + 3) = 6x² + 17x + 12
When x = 3,
Substitute the value of x as 3 in the above expression
6x² + 17x + 12
= 6(3)² + 17(3) + 12
= 6(9) + 17(3) + 12
= 54 + 51 + 12
= 117
∴ Value of the polynomial when x = 3 is 117
Solution ↓
Product of (3x + 4) and (2x + 3) :-
→ (3x + 4) (2x + 3)
→ 3x(2x + 3) + 4(2x + 3)
→ 3x(2x) + 3x(3) + 4(2x) + 4(3)
→ 6x² + 9x + 8x + 12
→ 6x² + 17x + 12
Therefore, the product of :-
(3x + 4) and (2x + 3) is :-
6x² + 17x + 12.
If x = 3, then each x will become 3.
→ 6x² + 17x + 12
→ (6 × 3²) + (17 × 3) + 12
→ (6 × 3 × 3) + 51 + 12
→ (6 × 9) + 51 + 12
→ 54 + 51 + 12
→ 117 (Required Ans)
Therefore, we have got 117 as our
final answer.
Answer :-
Option [D] None
Hope it will help you.