Answer:
Step-by-step explanation:
4) x² - 14x + 48
We would find two numbers such that their sum or difference is -14x and their product is 48x².
The two numbers are - 6x and - 8x. Therefore,
x² - 6x - 8x + 48
x(x - 6) - 8(x - 6)
(x - 8)(x - 6)
5) 2x² + 21x - 11
We would find two numbers such that their sum or difference is 21x and their product is - 22x².
The two numbers are 22x and - x. Therefore,
2x² + 22x - x - 11
2x(x + 11) - 1(x + 11)
(2x - 1)(x + 11)
6) 5a² - 125
5 is a common factor. So we would factorize 5. It becomes
5(a² - 25)
Simplifying further, it becomes
5(a + 5)(a - 5)
Answer:
d) p(4) = 0.
Step-by-step explanation:
p(4) = 0:-
p(4) = 4^2 + 8(4) - 48
= 16 + 32 - 48
= 0.
This is an application of the Factor Theorem ( a special case of The Remainder Theorem)
The Factor theorem states that if (x - a) is a factor of P(x) then P(a) = 0.
2 - b.
3 - a.
I'm not sure about 4. Hope this helps!
<span><span>(<span><span>9a</span>+2</span>)</span><span>(<span><span>9a</span>+2</span>) or, </span></span><span><span>(<span><span>9a</span>+2</span>)</span><span>^2</span></span>