Answer:
6 root 6
Step-by-step explanation:
A²-5a+6
to factorise you find the common numbers that add to make 5 and times to make 6
soo that means it is
(a-2) (a-3)
Answer:We have, 38% × x = 190
or,
38
100
× x = 190
Multiplying both sides by 100 and dividing both sides by 38,
we have x = 190 ×
100
38
x = 500
If you are using a calculator, simply enter 190×100÷38, which will give you the answer.
Step-by-step explanation:
Answer:
a = 5
Remainder when p(x) is divided by x+2 = 62
Step-by-step explanation:
Given:
P(x) = x⁴-2x³+3x²-ax+3a-7
When x+1 divides the polynomial p(x) the ramainder is 19.
Applying remainder theorem,
x = -1
p(-1) = 19
Substitute the x = -1 into the polynomial expression
p(-1) = (-1)⁴-2(-1)³+3(-1)²-a(-1)+3a-7 = 19
1+2+3+a+3a-7 = 19
6-7+4a = 19
4a-1 = 19
4a = 19+1
4a = 20
a = 20/4
a = 5.
Hence, a = 5
p(x) = x⁴-2x³+3x²-5x+8
If p(x) is divided by x+2,
Then the remainder is p(-2)
p(-2) = (-2)⁴-2(-2)³+3(-2)²-5(-2)+8
p(-2) = 16+16+12+10+8
p(-2) = 62
Hence the remaider when p(x) is divided by x+2 is 62
