Findthezerosandnumberofzerosof =2 +9+18Showthemonagraph please answer
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Step-by-step explanation:
In the given polynomial x
2
+9x+18,
The first term is x
2
and its coefficient is 1.
The middle term is 9x and its coefficient is 9.
The last term is a constant term 18.
Multiply the coefficient of the first term by the constant 1×18=18.
We now find the factor of 18 whose sum equals the coefficient of the middle term, which is 9 and then factorize the polynomial x
2
+9x+18 and equate it to 0 as shown below:
x
2
+9x+18=0
⇒x
2
+3x+6x+18=0
⇒x(x+3)+6(x+3)=0
⇒(x+3)(x+6)=0
⇒(x+3)=0,(x+6)=0
⇒x=−3,x=−6
Hence, the zeroes of the polynomial x
2
+9x+18 are −3,−6 and therefore, the number of zeroes are two.
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