Answer:
there is only one easy way to sole this
using quadratic equation
Step-by-step explanation:
a=6 b=5 c=-6
and by applying it to the equation you will get
x=0.66 and x=-1.5
Answer:
28.5
Step-by-step explanation:
I don't exactly know what's the answer. but I've just tried.if I'm wrong tell me the answers that I can try another method or you can just tell me you're wrong then I'll try again and send you the answer.I'm not pretty sure that this is the answer. and if I'm correct tell me I'm correct.
<u>Given:</u>
Polynomial = P(x) = 3x² + kx + 6
Factor of the ablove polynomial = (x+3)
<u>To </u><u>Find</u><u>:</u>
Value of K, for which (x+3) become the factor of P(x) = 3x² + kx + 6
<u>Solu</u><u>tion</u><u> </u><u>:</u>
Now,
x + 3 = 0
⇒x = (-3)
So,
As (x+3) is a factor so x = (-3) is one root of the polynomial.
Therefore,
P(-3) = 0
→ P(-3) = 3(-3)² + k(-3) + 6 = 0
→ 3(9) - 3k + 6 = 0
→ 27 - 3k + 6 = 0
→ 27 + 6 - 3k = 0
→ 33 - 3k = 0
→ - 3k = -33
→ k = -33 ÷ -3
→ k = 11
- <u>Hence,For the value of k = 11, (x+3) is a factor of 3x²+ kx + 6</u>
<h2><u>V</u><u> </u><u>E</u><u> </u><u>R</u><u> </u><u>I</u><u> </u><u>F</u><u> </u><u>I</u><u> </u><u>C</u><u> </u><u>A</u><u> </u><u>T</u><u> </u><u>I</u><u> </u><u>O</u><u> </u><u>N</u><u> </u><u>:</u></h2>
3x²+ kx + 6, by putting the value of k = 11 and taking -3 as root the remainder should be zero
→ 3x²+ 11x + 6
→ 3(-3)² + 11(-3) + 6
→ 3(9) - 33 + 6
→ 27 - 33 + 6
→ 27 + 6 - 33
→ 33 - 33
→ 0
<u>Hence verified</u><u> </u><u>!</u>
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Hi my lil bunny!
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Xoxo, , May
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Hope this helped you.
Could you maybe give brainliest..?